@string{bams = "Bull.\ A.M.S."} @string{pams = "Proc.\ A.M.S."} @string{jams = "Jour.\ A.M.S."} @string{tams = "Trans.\ A.M.S."} @string{mams = "Mem.\ A.M.S."} @string{psymp = "Proc.\ Symp.\ Pure Math."} @string{blms = "Bull.\ Lond.\ Math.\ Soc."} @string{plms = "Proc.\ Lond.\ Math.\ Soc."} @string{jlms = "Jour.\ Lond.\ Math.\ Soc."} @string{camb = "Math.\ Proc.\ Camb.\ Phil.\ Soc. "} @string{duke = "Duke J.\ Math."} @string{top = "Topology"} @string{topapp = "Top.\ Appl."} @string{invent = "Inventiones Math."} @string{comm = "Comm.\ Math.\ Helv."} @string{annals = "Annals of Math."} @string{annalen = "Math.\ Annalen"} @string{jdg = "J. Diff.\ Geo."} @string{jalg = "J. Alg.\ Geo."} @string{advances = "Adv.\ in Math."} @string{lnm = "Lecture Notes in Math."} @string{ihes = "Publ.\ I.H.E.S."} @string{pac = "Pacific J.\ Math. "} @string{ast = "Ast\'{e}risque"} @string{ens= "Ann.\ Scient.\ \'{E}cole Norm.\ Sup. "} @string{mich= "Mich.\ Math.\ J. "} @string{cmp= "Comm.\ Math.\ Phys. "} @string{cpam= "Comm.\ Pure Appl.\ Math. "} @string{annalen = "Math.\ Ann. "} @string{reine = "J.\ Reine Angew.\ Math. "} @string{isr = "Isr.\ J.\ Math. "} @string{qjmath = "Quart.\ J. Math. "} @string{procind = "Proc.\ Ind.\ Math.\ Soc."} @string{acta = "Acta Math."} @string{pnas = "Proc.\ Nat.\ Acad.\ Sci.\ USA"} @string{cras = "C.\ R.\ Acad.\ Sci.\ Paris"} @string{ill = "Ill.\ J.\ Math."} @string{turk = "Turkish J.\ Math."} @string{ggt= "G{\"o}kova Geom.\ \& Top."} @string{ RWTH = "Rheinisch Westf{\accent127 a}lische Technische Hoch\-schule" } @string{ RWTHLDFM = "Lehrstuhl D f{\accent127 u}r Mathematik, Rheinisch Westf{\accent127 a}lische Technische Hoch\-schule" } @string{ RWTH-A = "Aachen, Germany" } @manual{gap93, author = "Martin Sch{\accent127 o}nert and others", title = "{GAP} -- {Groups}, {Algorithms}, and {Programming}", year = "1993", edition = "third", organization = RWTHLDFM, address = RWTH-A, notes = "PAGES: 900", keywords = "groups; *; gap; manual" } @manual{GAP4, key = "GAP", organization = "The GAP~Group", title = "{GAP -- Groups, Algorithms, and Programming, Version 4.4}", year = 2006, note = "\verb+(http://www.gap-system.org)+", keywords = "groups; *; gap; manual"} } @article{adhm, author = "Atiyah, M.F. and Drinfeld, V. and Hitchin, N.J. and Manin, Yu.I.", title = "Construction of instantons", journal = "Phys. Lett.", volume = "{65A}", year = 1987, pages = "185--87"} @article{ahs:self-duality, author = "Atiyah, M.F. and Hitchin, N.J. and Singer, I.M.", title = "Self-duality in 4-dimensional {Riemannian} geometry", journal = "Proc.\ R.\ Soc.\ Lond.\ A.", volume = 362, year = 1978, pages = "425--461"} @article{akbulut-kirby:branch, author = "Akbulut, S. and Kirby, R.", journal = annalen, title = "Branched covers of Surfaces in 4-manifolds", volume = 252, year = 1981, pages = "111-131"} @book{akbulut-mccarthy, author = "Akbulut, S. and McCarthy, J.", title = "Casson's invariant for oriented homology 3-spheres -- an exposition", year = 1990, publisher = "Princeton University Press", address = "Princeton", series = "Mathematical Notes", volume = "36"} @incollection{akbulut:fake, author = "Akbulut, S.", title = "A fake $4$--manifold", booktitle = "Four-Manifold Theory", editor = "Gordon, C. and Kirby, R.", publisher = "American Math.\ Soc", address = "Providence", year = 1984} @article {akbulut:contractible, AUTHOR = {Akbulut, Selman}, TITLE = {A fake compact contractible {$4$}-manifold}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {33}, YEAR = {1991}, NUMBER = {2}, PAGES = {335--356}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {57N13 (57R55)}, MRNUMBER = {92b:57025}, MRREVIEWER = {Laurence R. Taylor}, } @article {akbulut:relations, AUTHOR = {Akbulut, Selman}, TITLE = {On universal relations in gauge theory}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {348}, YEAR = {1996}, NUMBER = {4}, PAGES = {1329--1355}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {57R57 (55S45)}, MRNUMBER = {97c:57033}, MRREVIEWER = {Paolo Lisca}, } @article{akbulut:scharlemann, AUTHOR = {Akbulut, Selman}, TITLE = {Scharlemann's manifold is standard}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {149}, YEAR = {1999}, NUMBER = {2}, PAGES = {497--510}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {57N13 (57N70 57Q15 57Q25)}, MRNUMBER = {MR1689337 (2000d:57033)}, MRREVIEWER = {Martin Scharlemann}, } @incollection{akbulut:fs-knot-surgery, AUTHOR = {Akbulut, Selman}, TITLE = {Variations on {Fintushel-Stern} knot surgery on $4$-manifolds}, BOOKTITLE = {Proceedings of $8^{th}$ {G}\"okova {G}eometry-{T}opology {C}onference}, PAGES = {1--12}, PUBLISHER = {G\"okova Geometry/Topology Conference (GGT), G\"okova}, YEAR = {2002} } @article {almgren:cycles, AUTHOR = {{Almgren, Jr.}, F. J.}, TITLE = {The homotopy groups of the integral cycle groups}, JOURNAL = {Topology}, VOLUME = {1}, YEAR = {1962}, PAGES = {257--299}, } @article{anderson:minimal, author = "Anderson, M.", title = "Complete minimal hypersurfaces in hyperbolic n-manifolds", journal = comm , volume = 58, year = 1983, pages = "264-290"} @book{angers, editor = "Beauville, A.", title = "Journees de geometrie algebrique {d'Angers} 1979", year = 1980, publisher = "{Alphen aan den Rijn}", address = "{Rockville, Md.}"} @article{aps:I, author = "Atiyah,M.F. and Patodi,V.K. and Singer,I.M.", title = "Spectral Asymmetry and {Riemannian} geometry: {I}", journal = camb, year = 1975, volume = 77, pages = "43--69"} @article{aps:II, title = "Spectral Asymmetry and {Riemannian} geometry: {II}", author = "Atiyah,M.F. and Patodi,V.K. and Singer,I.M.", journal = camb, year = 1975, volume = 78, pages = "405--432"} @article{aps:III, title = "Spectral Asymmetry and {Riemannian} geometry: {III}", author = "Atiyah,M.F. and Patodi,V.K. and Singer,I.M.", journal = camb, year = 1976, volume = 79, pages = "71-99"} @article{arf, author = "Arf, C.", title = "Untersuchen {\"{u}ber} quadratischen {Formen} in {K\"{o}rpern} der {Charakteristik} 2", journal= "Crelles Math.\ J.", year = 1941, volume = 183, pages = "148--167"} @article{aronszajn, author = "Aronszajn, N.", title = "A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of the second order", journal = "J.\ Math.\ Pures Appl.", volume = 36, pages = "235-249", year = 1957} @article {asimov:round, AUTHOR = {Asimov, Daniel}, TITLE = {Round handles and non-singular {M}orse-{S}male flows}, JOURNAL = {Ann. of Math. (2)}, VOLUME = {102}, YEAR = {1975}, NUMBER = {1}, PAGES = {41--54}, MRCLASS = {58F10 (57D65)}, MRNUMBER = {52 \#1780}, MRREVIEWER = {Robert Roussarie}, } @article{atiyah-bott:lefschetz, author = "Atiyah, M.F. and Bott, R.", title = "A {Lefschetz} fixed point formula for elliptic complexes: {II}", journal = annals, volume = 88, year = 1968, pages = "451--491"} @article{atiyah-bott:surface, author = "Atiyah, M.F. and Bott, R.", title = "The {Yang--Mills} equations on a {Riemann} surface", journal = "Phil.\ Trans.\ R.\ Soc. Lond.\ A.", year = 1982, volume = 308, pages = "524--615"} @article{atiyah-jones, author = "Atiyah, M.F. and Jones, J.D.S.", title = "Topological aspects of {Yang--Mills} theory", journal = cmp, volume = 61, year = 1978, pages = "97--118"} @article{atiyah-segal, author = "Atiyah,M.F. and Segal, G.B.", title = " The index of elliptic operators: {II}", journal = annals, volume = 87, year = 1968, pages = "531-545 "} @article{atiyah-singer:I, author = "Atiyah,M.F. and Singer,I.M.", title = " The index of elliptic operators: {I}", journal = annals, volume = 87, year = 1968, pages = "484--530"} @article{atiyah-singer:III, author = "Atiyah,M.F. and Singer,I.M.", title = " The index of elliptic operators: {III}", journal = annals, volume = 87, year = 1968, pages = "546-604"} @article{atiyah-singer:IV, author = "Atiyah,M.F. and Singer,I.M.", title = " The index of elliptic operators: {IV}", journal = annals, volume = 93, year = 1971, pages = "119--138"} @article{atiyah-singer:dirac, author = "Atiyah, M.F. and Singer, I.M.", title = "Dirac operators coupled to vector potentials", journal = "Proc.\ Nat.\ Acad.\ Sci.", volume = 81, year = 1984, pages = "2597--2600"} @incollection{atiyah:invariants, AUTHOR = {Atiyah, Michael}, TITLE = {New invariants of {$3$}- and {$4$}-dimensional manifolds}, BOOKTITLE = {The mathematical heritage of Hermann Weyl (Durham, NC, 1987)}, SERIES = {Proc. Sympos. Pure Math.}, VOLUME = {48}, PAGES = {285--299}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1988}, MRCLASS = {57R55 (58E15 58F05 81E13)}, MRNUMBER = {MR974342 (89m:57034)}, MRREVIEWER = {Pankaj Topiwala}, } @phdthesis{auckly:thesis, author = "Auckly, D.R.", title = "Computing secondary and spectral invariants", school = "University of Michigan", year = 1991} @article {auckly:csfiber, AUTHOR = {Auckly, David R.}, TITLE = {Chern-{S}imons invariants of $3$-manifolds which fiber over ${S}\sp 1$}, JOURNAL = {Internat. J. Math.}, VOLUME = {5}, YEAR = {1994}, PAGES = {179--188} } @article {auckly:cs, AUTHOR = {Auckly, David R.}, TITLE = {Topological methods to compute {C}hern-{S}imons invariants}, JOURNAL = {Math. Proc. Cambridge Philos. Soc.}, VOLUME = {115}, YEAR = {1994}, PAGES = {229--251} } @article {auckly:sw3, AUTHOR = {Auckly, Dave}, TITLE = {The {T}hurston norm and three-dimensional {S}eiberg-{W}itten theory}, JOURNAL = {Osaka J. Math.}, VOLUME = {33}, YEAR = {1996}, PAGES = {737--750} } @book {auckly:k3, AUTHOR = {Auckly, Dave}, TITLE = {Homotopy ${K}3$ surfaces and gluing results in {S}eiberg-{W}itten theory}, SERIES = {Lecture Notes Series}, VOLUME = {37}, PUBLISHER = {Seoul National University Research Institute of Mathematics}, ADDRESS = {Seoul}, YEAR = {1996}, PAGES = {iii+53} } @article {auckly:stable, AUTHOR = {Auckly, Dave}, TITLE = {Families of four-dimensional manifolds that become mutually diffeoomorphic after one stabilization}, JOURNAL = topapp, VOLUME = {127}, YEAR = {2003}, PAGES = {277--298} } @article {auroux-donaldson-katzarkov:luttinger, AUTHOR = {Auroux, D. and Donaldson, S. K. and Katzarkov, L.}, TITLE = {Luttinger surgery along {L}agrangian tori and non-isotopy for singular symplectic plane curves}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {326}, YEAR = {2003}, NUMBER = {1}, PAGES = {185--203}, ISSN = {0025-5831}, CODEN = {MAANA}, MRCLASS = {57R17 (53D35 57R52)}, MRNUMBER = {MR1981618 (2004c:57039)}, MRREVIEWER = {Ignasi Mundet-Riera}, } @article {austin:so3, AUTHOR = {Austin, David M.}, TITLE = {{SO($3$)}-instantons on ${L}(p,q)\times{{\bf R}}$}, JOURNAL = {J. Diff. Geom.}, VOLUME = {32}, YEAR = {1990}, PAGES = {383--413} } @unpublished{austin-braam-keck, author = "Austin, D. and Braam, P. and Keck, A.", title = "Equivariant {Floer} theory for $3$--manifolds", year = 1989, note = "Preprint"} @article {braam-matic:smith, AUTHOR = {Braam, Peter J. and Mati{\'c}, Gordana}, TITLE = {The {S}mith conjecture in dimension four and equivariant gauge theory}, JOURNAL = {Forum Math.}, FJOURNAL = {Forum Mathematicum}, VOLUME = {5}, YEAR = {1993}, NUMBER = {3}, PAGES = {299--311}, ISSN = {0933-7741}, CODEN = {FOMAEF}, MRCLASS = {57S15 (55M35 57R57 57R85 57R91 57S17 58D27)}, MRNUMBER = {94d:57063}, MRREVIEWER = {Ronald J. Stern}, } @article{austin-braam:floer, AUTHOR = {Austin, David M. and Braam, Peter J.}, TITLE = {Equivariant {F}loer theory and gluing {D}onaldson polynomials}, JOURNAL = {Topology}, VOLUME = {35}, YEAR = {1996}, NUMBER = {1}, PAGES = {167--200} } @article{adams:punct, author = "Adams, C.", title = "Thrice-punctured spheres in hyperbolic 3-manifolds", journal = tams, volume = 287, year = 1985, pages = "645--656"} @MISC{ammann-dahl-humbert:surgery, author = {Bernd Ammann and Mattias Dahl and Emmanuel Humbert}, title = {Surgery and Harmonic Spinors}, note = {http://www.arxiv.org/abs/math/0606224}, year = {2006} } @MISC{ammann-dahl-humbert:local, author = {Bernd Ammann and Mattias Dahl and Emmanuel Humbert}, title = {Harmonic spinors and local deformations of the metric}, note = {http://arxiv.org/abs/0903.4544}, year = {2009} } @article{baily, author = "Baily, W.", title = "The decomposition theorem for {V-manifolds}", journal = "Amer. \ J. \ Math.", volume = 78, year = 1956, pages = "862--888"} @article {bak:involution, AUTHOR = {Bak, Anthony}, TITLE = {The involution on {W}hitehead torsion}, NOTE = {NSF-CBMS Regional Conference in Topology (Univ. Tennessee, Knoxville, Tenn., 1974)}, JOURNAL = {General Topology and Appl.}, VOLUME = {7}, YEAR = {1977}, NUMBER = {2}, PAGES = {201--206}, MRCLASS = {57C10}, MRNUMBER = {MR0451249 (56 \#9536)}, MRREVIEWER = {V. P. Snaith}, } @article {baldridge:S1-action, AUTHOR = {Baldridge, Scott Jeremy}, TITLE = {Seiberg-{W}itten invariants, orbifolds, and circle actions}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {355}, YEAR = {2003}, NUMBER = {4}, PAGES = {1669--1697 (electronic)}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {57R57 (57M60)}, MRNUMBER = {1946410 (2003j:57050)}, MRREVIEWER = {Brendan E. Owens}, DOI = {10.1090/S0002-9947-02-03205-1}, URL = {http://dx.doi.org/10.1090/S0002-9947-02-03205-1}, } @article {baldridge:free, AUTHOR = {Baldridge, Scott}, TITLE = {Seiberg-{W}itten invariants of 4-manifolds with free circle actions}, JOURNAL = {Commun. Contemp. Math.}, FJOURNAL = {Communications in Contemporary Mathematics}, VOLUME = {3}, YEAR = {2001}, NUMBER = {3}, PAGES = {341--353}, ISSN = {0219-1997}, MRCLASS = {57R57 (57R91 57S15)}, MRNUMBER = {1849644 (2002d:57024)}, MRREVIEWER = {Ciprian Manolescu}, DOI = {10.1142/S021919970100038X}, URL = {http://dx.doi.org/10.1142/S021919970100038X}, } @article {baldridge-kirk:symplectic-pi1, AUTHOR = {Baldridge, Scott and Kirk, Paul}, TITLE = {On symplectic 4-manifolds with prescribed fundamental group}, JOURNAL = {Comment. Math. Helv.}, FJOURNAL = {Commentarii Mathematici Helvetici. A Journal of the Swiss Mathematical Society}, VOLUME = {82}, YEAR = {2007}, NUMBER = {4}, PAGES = {845--875}, ISSN = {0010-2571}, MRCLASS = {57M05 (53Dxx 57R17)}, MRNUMBER = {MR2341842}, } @article{barlow, author = "Barlow,R.", title = "A simply connected surface of general type with {$p_g = 0$}", journal = invent, volume = 79, year = 1985, pages = "293--302"} @article{barth:sextic, author = "Barth, W.", title = "Two projective surfaces with many nodes, admitting the symmetries of the icosahedron", year = 1996, journal = jalg, volume = 5, pages = "173--186"} @book{barth-peters-vandeven, author = "Barth, W. and Peters, C. and Van de Ven, A.", title = "Compact Complex Surfaces", publisher = "Springer--Verlag", address = "New York and Berlin", year = 1984} @article {bauer, AUTHOR = {Bauer, Stefan}, TITLE = {Parabolic bundles, elliptic surfaces and ${\rm {S}{U}}(2)$-representation spaces of genus zero {F}uchsian groups}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {290}, YEAR = {1991}, NUMBER = {3}, PAGES = {509--526}, ISSN = {0025-5831}, CODEN = {MAANA}, MRCLASS = {14D20 (14H60 14J60)}, MRNUMBER = {92h:14007}, MRREVIEWER = {Dave Auckly}, } @article{bauer-okonek, author = "Bauer, S. and Okonek, C.", title = "The algebraic geometry of representation spaces associated to {Seifert} fibered homology 3-spheres", year = 1990, journal = annalen, volume = 286, pages = "45--76"} @unpublished{baykur-sunukjian:round, author = "R. Inanc Baykur and Nathan Sunukjian", title = "Round handles, logarithmic transforms, and smooth 4-manifolds", year = 2010, note ="Preprint, http://arxiv.org/abs/1009.0514" } @incollection{beauville:nodes, editor = "Beauville, A.", booktitle = "Journees de geometrie algebrique {d'Angers} 1979", year = 1980, publisher = "{Alphen aan den Rijn}", address = "{Rockville, Md.}", author = "Beauville, A.", title = "Sur le nombre maximum de points double d'une surface dans {${\bf P}^3$} ({$\mu(5)= 31$})", pages = "207--215"} @article{berard:transplantation-I, AUTHOR = {B{\'e}rard, Pierre}, TITLE = {Transplantation et isospectralit\'e. {I}}, JOURNAL = {Math. Ann.}, VOLUME = {292}, pages = {547--559}, YEAR = {1992} } @inproceedings{berard-bergery:isometry, Author = {B{\'e}rard~Bergery, Lionel}, editor = "Berger, Marcel and Murakami, Shingo and Ochiai, Takushiro", booktitle = "{Spectra of Riemannian Manifolds: Proceedings of the France-Japan Seminar on Spectra of Riemannian Manifolds and Space of Metrics of Manifolds, Kyoto 1981}", title = "Scalar curvature and isometry group", pages = "9--28", year = 1983} @article {berger-ebin:tensors, AUTHOR = {Berger, M. and Ebin, D.}, TITLE = {Some decompositions of the space of symmetric tensors on a {R}iemannian manifold}, JOURNAL = {J. Differential Geometry}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {3}, YEAR = {1969}, PAGES = {379--392}, ISSN = {0022-040X}, MRCLASS = {53.45 (57.00)}, MRNUMBER = {MR0266084 (42 \#993)}, MRREVIEWER = {Y. Katsurada}, } @incollection{bers, author = "Bers, L.", title = "Quasi-conformal mappings and {Teichm\"{u}ller's} theorem", booktitle = "Analytic Function Theory", publisher = "Princeton University Press", address = "Princeton", year = 1960, pages = "89-119"} @article {biquard:non-kahler, AUTHOR = {Biquard, Olivier}, TITLE = {Les \'equations de {S}eiberg-{W}itten sur une surface complexe non k\"ahl\'erienne}, JOURNAL = {Comm. Anal. Geom.}, FJOURNAL = {Communications in Analysis and Geometry}, VOLUME = {6}, YEAR = {1998}, NUMBER = {1}, PAGES = {173--197}, ISSN = {1019-8385}, MRCLASS = {57R57 (32J15)}, MRNUMBER = {1619842 (2000d:57048)}, } @article{birman:3braids, author = "Birman, J.", title = "On the {Jones} polynomial of closed 3-braids", journal = invent, volume = 81, pages = "287-294", year = 1985} @article{bismut-bost, author = "Bismut, J.-M. and Bost, J.-B.", title = "{Fibr\'{e}s d\'{e}terminants, m\'{e}triques de Quillen et d\'{e}g\'{e}n\'{e}resence des courbes}", journal = acta, volume = 165, year = 1990, pages = "1--103"} @article{bismut-cheeger:adiabatic, author = "Bismut, J.-M. and Cheeger, J.", title = "{$\eta$-invariants} and their adiabatic limits", journal = jams, year = "1989", volume = "2", pages = "???" } @article{bismut-freed:I, author = "Bismut, J.M. and Freed, D.S.", title = "The analysis of elliptic families {I}: metrics and connections on determinant line bundles", journal = cmp, volume = 106, year = 1986, pages = "159--176"} @article {boden-nicas, AUTHOR = {Boden, Hans U. and Nicas, Andrew}, TITLE = {Universal formulae for {${\rm SU}(n)$} {C}asson invariants of knots}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {352}, YEAR = {2000}, NUMBER = {7}, PAGES = {3149--3187}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {57M27}, MRNUMBER = {2001k:57011}, } @article {boden:brieskorn, AUTHOR = {Boden, Hans U.}, TITLE = {Unitary representations of {B}rieskorn spheres}, JOURNAL = {Duke Math. J.}, VOLUME = {75}, YEAR = {1994}, PAGES = {193--220} } @unpublished{bonahon-siebenmann, author = "Bonahon, F. and Siebenmann, L.", title = "Geometric Splittings of Classical Knots, and the Algebraic Knots of Conway", note = "To appear"} @article{bonahon:ends, author = "Bonahon, F.", title = "Bouts des {vari\'{e}t\'{e}s} hyperboliques de dimension 3", journal = annals, volume = 124, pages = "71-158", year = 1986} @book {booss-wojciechowski:boundary, AUTHOR = {Boo{\ss}-Bavnbek, Bernhelm and Wojciechowski, Krzysztof P.}, TITLE = {Elliptic boundary problems for {D}irac operators}, SERIES = {Mathematics: Theory \& Applications}, PUBLISHER = {Birkh\"auser Boston Inc.}, ADDRESS = {Boston, MA}, YEAR = {1993}, PAGES = {xviii+307}, ISBN = {0-8176-3681-1}, MRCLASS = {58G20 (58G10)}, MRNUMBER = {MR1233386 (94h:58168)}, MRREVIEWER = {John Roe}, } @misc{booss-lesch:double, AUTHOR = {Boo{\ss}-Bavnbek, Bernhelm and Wojciechowski, Krzysztof P.}, TITLE = {The invertible double of elliptic operators}, note ={http://arxiv.org/abs/0803.4047}, year = "2008"} @book {gilkey:invariance-heat-index, AUTHOR = {Gilkey, Peter B.}, TITLE = {Invariance theory, the heat equation, and the {A}tiyah-{S}inger index theorem}, SERIES = {Studies in Advanced Mathematics}, EDITION = {Second}, PUBLISHER = {CRC Press}, ADDRESS = {Boca Raton, FL}, YEAR = {1995}, PAGES = {x+516}, ISBN = {0-8493-7874-4}, MRCLASS = {58Gxx (58G10 58G11)}, MRNUMBER = {1396308 (98b:58156)}, MRREVIEWER = {Matthias Lesch}, } @article{botvinnik-gilkey:bordism, AUTHOR = {Botvinnik, Boris and Gilkey, Peter B.}, TITLE = {The eta invariant and metrics of positive scalar curvature}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {302}, YEAR = {1995}, NUMBER = {3}, PAGES = {507--517}, ISSN = {0025-5831}, CODEN = {MAANA}, MRCLASS = {58G12 (53C21 53C25 57R15 58D27 58G25)}, MRNUMBER = {96f:58159}, MRREVIEWER = {Jonathan M. Rosenberg}, } @article{botvinnik-gilkey:spaceforms, AUTHOR = {Botvinnik, Boris and Gilkey, Peter B.}, TITLE = {Metrics of positive scalar curvature on spherical space forms}, JOURNAL = {Canad. J. Math.}, FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques}, VOLUME = {48}, YEAR = {1996}, NUMBER = {1}, PAGES = {64--80}, ISSN = {0008-414X}, CODEN = {CJMAAB}, MRCLASS = {58G12 (53C21 55N22 57R15 57R57 58G25)}, MRNUMBER = {97c:58155}, MRREVIEWER = {Jonathan M. Rosenberg}, } @article {boyer-lines, AUTHOR = {Boyer, Steven and Lines, Daniel}, TITLE = {Surgery formulae for {C}asson's invariant and extensions to homology lens spaces}, JOURNAL = {J. Reine Angew. Math.}, FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik}, VOLUME = {405}, YEAR = {1990}, PAGES = {181--220}, ISSN = {0075-4102}, CODEN = {JRMAA8}, MRCLASS = {57N10 (57M25 57N12)}, MRNUMBER = {91e:57026}, MRREVIEWER = {Ronald J. Stern}, } @article{boyer-nicas, AUTHOR = {Boyer, S. and Nicas, A.}, TITLE = {Varieties of group representations and {C}asson's invariant for rational homology {$3$}-spheres}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {322}, YEAR = {1990}, NUMBER = {2}, PAGES = {507--522}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {57N10}, MRNUMBER = {92a:57020}, MRREVIEWER = {Alexander I. Suciu}, } @article{braam:floer, author = "Braam, P.", title = "Floer homology groups for homology $3$--spheres", journal = advances, volume = 88, year = 1991, pages = "131--144"} @incollection {braam-donaldson:gluing, AUTHOR = {Braam, P. J. and Donaldson, S. K.}, TITLE = {Fukaya-{F}loer homology and gluing formulae for polynomial invariants}, BOOKTITLE = {The Floer memorial volume}, PAGES = {257--281}, SERIES = {Progr. Math.}, VOLUME = {133}, PUBLISHER = {Birkh\"auser}, ADDRESS = {Basel}, YEAR = {1995}, } @incollection{braam-donaldson:knots, AUTHOR = {Braam, P. J. and Donaldson, S. K.}, TITLE = {Floer's work on instanton homology, knots and surgery}, BOOKTITLE = {The Floer memorial volume}, PAGES = {195--256}, SERIES = {Progr. Math.}, VOLUME = {133}, PUBLISHER = {Birkh\"auser}, ADDRESS = {Basel}, YEAR = {1995}, } @book{bredon, author = "Bredon, G.", title = "Introduction to Compact Transformation Groups", publisher = "Academic Press", address = "New York", year = 1972} @article{brooks-goldman:seifert, author = "Brooks,R. and Goldman, W.", title = "Volumes in {Seifert} space", journal = duke, volume = 51, year = 1984, pages = "529--545"} @article{brooks:branched-cover, author = "Brooks,R.", title = "On branched coverings of 3-manifolds which fiber over the circle", journal = reine, volume = 362, pages = "87--101", year = 1985} @book{browder:surgery, author = "Browder, W.", title = "Surgery on Simply-Connected Manifolds", publisher = "Springer-Verlag", year = 1972, address = "New York"} @book{brown:cohomology, AUTHOR = {Brown, Kenneth S.}, TITLE = {Cohomology of groups}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {87}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1994}, PAGES = {x+306}, ISBN = {0-387-90688-6}, MRCLASS = {20J05 (20-02)}, MRNUMBER = {MR1324339 (96a:20072)}, } @article{brunn, Author = {Brunn, H.}, Title = {\"Uber Verketung}, Journal = {{Sitzungsberichte der Bayerischen Akademie der Wissenschaften Wissenschaften, Mathematisch-Physikalische Klasse}}, volume = {22}, year = 1892, pages = "77-99" } @article {bryan-wentworth:multi, AUTHOR = {Bryan, James A. and Wentworth, Richard}, TITLE = {The multi-monopole equations for {K}\"ahler surfaces}, JOURNAL = {Turkish J. Math.}, VOLUME = {20}, YEAR = {1996}, PAGES = {119--128} } @incollection {MR1772273, AUTHOR = {Bryan, Jim and Leung, Naichung Conan}, TITLE = {Counting curves on irrational surfaces}, BOOKTITLE = {Surveys in differential geometry: differential geometry inspired by string theory}, PAGES = {313--339}, PUBLISHER = {Int. Press, Boston, MA}, YEAR = {1999}, MRCLASS = {14Nxx}, MRNUMBER = {1 772 273}, } @article {bryan-leung:K3, AUTHOR = {Bryan, Jim and Leung, Naichung Conan}, TITLE = {The enumerative geometry of ${K}3$ surfaces and modular forms}, JOURNAL = {J. Amer. Math. Soc.}, FJOURNAL = {Journal of the American Mathematical Society}, VOLUME = {13}, YEAR = {2000}, NUMBER = {2}, PAGES = {371--410 (electronic)}, ISSN = {0894-0347}, MRCLASS = {14Nxx (11Fxx 14Jxx)}, MRNUMBER = {1 750 955}, note = "Available online, http://xxx.lanl.gov/e-print/alg-geom/9711031"} } @article {MR2000m:14052, AUTHOR = {Bryan, Jim and Leung, Naichung Conan}, TITLE = {Generating functions for the number of curves on abelian surfaces}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {99}, YEAR = {1999}, NUMBER = {2}, PAGES = {311--328}, ISSN = {0012-7094}, CODEN = {DUMJAO}, MRCLASS = {14N10 (11F23 14J25)}, MRNUMBER = {2000m:14052}, MRREVIEWER = {Andreas Gathmann}, } @article{buchdahl:stable, author = "Buchdahl, N.", title = "{Hermitian--Einstein} connections and stable bundles over compact complex surfaces", journal = annalen, year = 1988, volume = 280, pages = "625--648"} @article {bunke:gluing, AUTHOR = {Bunke, Ulrich}, TITLE = {On the gluing problem for the $\eta$-invariant}, JOURNAL = {J. Differential Geom.}, VOLUME = {41}, YEAR = {1995}, PAGES = {397--448} } @book {burghelea-lashof-rothenberg, AUTHOR = {Burghelea, Dan and Lashof, Richard and Rothenberg, Melvin}, TITLE = {Groups of automorphisms of manifolds}, NOTE = {With an appendix (``The topological category'') by E. Pedersen, Lecture Notes in Mathematics, Vol. 473}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1975} } @article {cao-zhu:ricci, AUTHOR = {Cao, Huai-Dong and Zhu, Xi-Ping}, TITLE = {A complete proof of the {P}oincar\'e and geometrization conjectures---application of the {H}amilton-{P}erelman theory of the {R}icci flow}, JOURNAL = {Asian J. Math.}, FJOURNAL = {The Asian Journal of Mathematics}, VOLUME = {10}, YEAR = {2006}, NUMBER = {2}, PAGES = {165--492}, ISSN = {1093-6106}, MRCLASS = {53C44 (53C21 57M40 57M50)}, MRNUMBER = {MR2233789}, NOTE = "{Correction, Asian J. Math. {\bf 10} (2006), no. 4, 663}" } @article {cappell:splitting, AUTHOR = {Cappell, Sylvain E.}, TITLE = {A splitting theorem for manifolds}, JOURNAL = {Invent. Math.}, VOLUME = {33}, YEAR = {1976}, NUMBER = {2}, PAGES = {69--170}, MRCLASS = {57D65}, MRNUMBER = {55 \#11274}, MRREVIEWER = {Edgar H. Brown, Jr.}, } @article{clm:maslov, author = "Cappell, S.E. and Lee, R. and Miller, E.Y.", title = "On the {Maslov} index", journal = cpam, year = 1994, volume = 47, pages = "121--186"} @article{clm:I, author = "Cappell, S.E. and Lee, R. and Miller, E.Y.", title = "Self-adjoint elliptic operators and Manifold decompositions. {Part I}: {Low} eigenmodes and stretching", journal = cpam, year = 1996, volume = 49, pages = "825--866"} @article{clm:II, author = "Cappell, S.E. and Lee, R. and Miller, E.Y.", title = "Self-adjoint elliptic operators and Manifold decompositions. {Part II}: {Spectral flow and Maslov index}", journal = cpam, year = 1996, volume = 49, pages = "869--909"} @article {clm:III, AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.}, TITLE = {Self-adjoint elliptic operators and manifold decompositions. {III}. {D}eterminant line bundles and {L}agrangian intersection}, JOURNAL = {Comm. Pure Appl. Math.}, FJOURNAL = {Communications on Pure and Applied Mathematics}, VOLUME = {52}, YEAR = {1999}, NUMBER = {5}, PAGES = {543--611}, ISSN = {0010-3640}, CODEN = {CPAMA}, MRCLASS = {58J30 (53D12 57R57 58J20 58J28 58J52)}, MRNUMBER = {2000j:58043}, MRREVIEWER = {Liviu I. Nicolaescu}, } @article{cappell-ruberman:lens, author = "Cappell, S.E. and Ruberman, D.", title = "Imbeddings and homology cobordisms of lens spaces", journal = comm, volume = 63, year = 1988, pages = "75--89"} @article{cappell-shaneson:mu, author = "Cappell, S.E. and Shaneson- J.", title = "Invariants of 3-manifolds", journal = bams, volume = 81, year = 1975, pages = "559-561"} @article{cappell-shaneson:surgery, author = "Cappell,S.E. and Shaneson,J.", title = "Homology surgery and the codimension-two placement problem", journal = annals, volume = 99, year = "1974", pages = "277-348"} @article {cappell-shaneson:knots, AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.}, TITLE = {There exist inequivalent knots with the same complement}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {103}, YEAR = {1976}, NUMBER = {2}, PAGES = {349--353}, ISSN = {0003-486X}, MRCLASS = {57C45}, MRNUMBER = {0413117 (54 \#1238)}, MRREVIEWER = {J. P. Levine}, } @article{cappell-shaneson:rp4, author = "Cappell,S.E. and Shaneson,J.", title = "Some new four-manifolds", journal = annals, volume = 104, year = "1976", pages = "61--72"} @article {cappell-shaneson:links, AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.}, TITLE = {Link cobordism}, JOURNAL = {Comment. Math. Helv.}, FJOURNAL = {Commentarii Mathematici Helvetici}, VOLUME = {55}, YEAR = {1980}, NUMBER = {1}, PAGES = {20--49}, ISSN = {0010-2571}, CODEN = {COMHAX}, MRCLASS = {57Q45}, MRNUMBER = {MR569244 (81j:57011)}, MRREVIEWER = {J. P. Levine}, DOI = {10.1007/BF02566673}, URL = {http://dx.doi.org/10.1007/BF02566673}, } @book {carter-kamada-saito:surfaces, AUTHOR = {Carter, Scott and Kamada, Seiichi and Saito, Masahico}, TITLE = {Surfaces in 4-space}, SERIES = {Encyclopaedia of Mathematical Sciences}, VOLUME = {142}, NOTE = {Low-Dimensional Topology, III}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {2004}, PAGES = {xiv+213}, ISBN = {3-540-21040-7}, MRCLASS = {57Q45 (57M25 57R40)}, MRNUMBER = {2060067 (2005e:57065)}, MRREVIEWER = {Sergej V. Matveev}, } @incollection{casson:lectures, author = "Casson, A.", title = "Three lectures on new infinite constructions in $4$-dimensional manifolds", booktitle = "{\`{A}} la recherche de la Topologie Perdue", editor = "Marin, A. and Guillou, L.", publisher = "Birkhauser", address = "Boston", series = "Progress in Mathematics", year = 1986} @incollection{casson-gordon:orsay, author = "Casson,A. and Gordon,C.", title = "Cobordism of classical knots", booktitle = "{\`{A}} la recherche de la Topologie Perdue", editor = "Marin, A. and Guillou, L.", publisher = "Birkhauser", address = "Boston", series = "Progress in Mathematics", year = 1986} @article{casson-gordon:stanford, author = "Casson,A. and Gordon,C.", title = "On slice knots in dimension three", journal = "Proc.\ Symp.\ Pure Math.", volume = 32, year = 1978} @article{casson-harer, author = "Casson,A. and Harer, J.", title = "Some homology lens spaces which bound rational homology balls", journal = pac, volume = 96, year = 1981, pages = "23--36"} @unpublished{casson:invariant, author = "Casson, A.", title = "An integer invariant of homology 3-spheres", year = 1985, note = "Lectures at MSRI"} @article{catanese:babbage, author = "Catanese, F.", title ="{Babbage's} conjecture, contact of surfaces, symmetric determinantal varieties and applications", journal = invent, volume = 63, year = 1981, pages = "433--465"} @article {cha:p-covers, AUTHOR = {Cha, Jae Choon}, TITLE = {Link concordance, homology cobordism, and {H}irzebruch-type defects from iterated {$p$}-covers}, JOURNAL = {J. Eur. Math. Soc. (JEMS)}, FJOURNAL = {Journal of the European Mathematical Society (JEMS)}, VOLUME = {12}, YEAR = {2010}, NUMBER = {3}, PAGES = {555--610}, ISSN = {1435-9855}, MRCLASS = {57M25}, MRNUMBER = {2639313}, DOI = {10.4171/JEMS/209}, URL = {http://dx.doi.org/10.4171/JEMS/209}, } @article {cha:q-concordance, AUTHOR = {Cha, Jae Choon}, TITLE = {The structure of the rational concordance group of knots}, JOURNAL = {Mem. Amer. Math. Soc.}, FJOURNAL = {Memoirs of the American Mathematical Society}, VOLUME = {189}, YEAR = {2007}, NUMBER = {885}, PAGES = {x+95}, ISSN = {0065-9266}, CODEN = {MAMCAU}, MRCLASS = {57M25 (57Q45 57Q60)}, MRNUMBER = {2343079 (2009c:57007)}, MRREVIEWER = {Swatee Naik}, } @article {cha-ko:equivariant, AUTHOR = {Cha, Jae Choon and Ko, Ki Hyoung}, TITLE = {On equivariant slice knots}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {127}, YEAR = {1999}, NUMBER = {7}, PAGES = {2175--2182}, ISSN = {0002-9939}, CODEN = {PAMYAR}, MRCLASS = {57M25 (57M60 57N70)}, MRNUMBER = {1605928 (2000a:57006)}, DOI = {10.1090/S0002-9939-99-04868-6}, URL = {http://dx.doi.org/10.1090/S0002-9939-99-04868-6}, } @article {cha-ko:covering-links, AUTHOR = {Cha, Jae Choon and Ko, Ki Hyoung}, TITLE = {Signature invariants of covering links}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {358}, YEAR = {2006}, NUMBER = {8}, PAGES = {3399--3412 (electronic)}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {57Q45 (57M12 57M27 57Q60)}, MRNUMBER = {2218981 (2007b:57046)}, MRREVIEWER = {Mattia Mecchia}, DOI = {10.1090/S0002-9947-05-03739-6}, URL = {http://dx.doi.org/10.1090/S0002-9947-05-03739-6}, } @article {cha-livingston-ruberman:bing, AUTHOR = {Cha, Jae Choon and Livingston, Charles and Ruberman, Daniel}, TITLE = {Algebraic and {H}eegaard-{F}loer invariants of knots with slice {B}ing doubles}, JOURNAL = {Math. Proc. Cambridge Philos. Soc.}, FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical Society}, VOLUME = {144}, YEAR = {2008}, NUMBER = {2}, PAGES = {403--410}, ISSN = {0305-0041}, CODEN = {MPCPCO}, MRCLASS = {57M27}, MRNUMBER = {MR2405897}, } @unpublished{cha-livingston:unknown, author = "Jae Choon Cha and Charles Livingston", title = "{Unknown values in the table of knots}", year = "2005", note = "Unknown values in the table of knots"} @unpublished{cha-kim:hopf, author = "Jae Choon Cha and Taehee Kim", title = "{Smooth concordance of links topologically concordant to the Hopf link}", year = "2010", note = "Preprint"} @unpublished{cha-kim-ruberman-strle:hopf, author = "Cha,Jae Choon and Kim, Taehee and Ruberman, Daniel and Strle, Sa\v{s}o", title = "{Smooth concordance of links topologically concordant to the Hopf link}", year = "2010", URL = {http://arxiv.org/abs/1103.2417}, note = "Preprint"} @unpublished{charbonneau:thesis, AUTHOR = {Charbonneau, B.}, Title = {Analytic aspects of periodic instantons}, YEAR = {2004}, Note = {Ph.D. thesis, MIT}, URL = {http://www.math.mcgill.ca/$\sim$charbonneau/ThesisBenoitCharbonneau.pdf} } @article {chen:casson, AUTHOR = {Chen, Weimin}, TITLE = {Casson's invariant and {S}eiberg-{W}itten gauge theory}, JOURNAL = {Turkish J. Math.}, FJOURNAL = {Turkish Journal of Mathematics}, VOLUME = {21}, YEAR = {1997}, NUMBER = {1}, PAGES = {61--81}, ISSN = {1300-0098}, MRCLASS = {57R57 (57M50 57N10 58G10)}, MRNUMBER = {99a:57028}, MRREVIEWER = {Yildiray Ozan}, } @article{chern-simons:invariant, author = "Chern, S. and Simons, J.", title = "Characteristic forms and geometric invariants", journal = annals, year = 1974, volume = 99, pages = "48--69"} @article{cimasoni:bing, AUTHOR = {Cimasoni, David}, TITLE = {Slicing {B}ing doubles}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {6}, YEAR = {2006}, PAGES = {2395--2415}, ISSN = {1472-2747}, MRCLASS = {57M25 (57M27)}, MRNUMBER = {MR2286030 (2007k:57006)}, MRREVIEWER = {Stefan K. Friedl} } @article{cochran-ruberman:tangles, author = "Cochran, T.D. and Ruberman, D.", title = "Invariants of Tangles", journal = camb, year = 1989, volume = 105, pages = "299--306"} @article{cochran:cicc, author = "Cochran, T.D.", title = "Concordance invariance of coefficients of {Conway's} link polynomial", journal = invent, volume = 82, year = 1985, pages = "527--541"} @article{cochran:gilc, author = "Cochran, T.D.", title = "Geometric invariants of link cobordism", journal = comm, volume = 60, pages = "291--311", year = 1985} @article{cochran-gompf:donaldson, AUTHOR = {Cochran, Tim D. and Gompf, Robert E.}, TITLE = {Applications of {D}onaldson's theorems to classical knot concordance, homology {$3$}-spheres and property {$P$}}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {27}, YEAR = {1988}, NUMBER = {4}, PAGES = {495--512}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {57N70 (57M25 57N10 57R55)}, MRNUMBER = {MR976591 (90g:57020)}, MRREVIEWER = {Anatoly Libgober}, } @article{cochran-habegger:homotopy, AUTHOR = "Cochran, T.D. and Habegger, N.", TITLE = {On the homotopy theory of simply connected four manifolds}, JOURNAL = top, VOLUME = {29}, YEAR = {1990}, PAGES = {419--440} } @article{cochran-harvey-leidy:doubling, AUTHOR = "Cochran, T.D. and Harvey, S. and Leidy, C.", TITLE = {Link concordance and generalized doubling operators}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {8}, YEAR = {2008}, PAGES = {1593--1646} } @article {cochran-orr:boundary-links, AUTHOR = {Cochran, Tim D. and Orr, Kent E.}, TITLE = {Not all links are concordant to boundary links}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {138}, YEAR = {1993}, NUMBER = {3}, PAGES = {519--554}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {57Q45 (57M25)}, MRNUMBER = {MR1247992 (95c:57042)}, MRREVIEWER = {J. P. Levine}, } @article {cochran-orr-teichner:structure, AUTHOR = {Cochran, Tim D. and Orr, Kent E. and Teichner, Peter}, TITLE = {Structure in the classical knot concordance group}, JOURNAL = {Comment. Math. Helv.}, FJOURNAL = {Commentarii Mathematici Helvetici}, VOLUME = {79}, YEAR = {2004}, NUMBER = {1}, PAGES = {105--123}, ISSN = {0010-2571}, CODEN = {COMHAX}, MRCLASS = {57M25 (57N70)}, MRNUMBER = {MR2031301 (2004k:57005)}, MRREVIEWER = {S. V. Duzhin}, } @article {cochran-orr-teichner:l2, AUTHOR = {Cochran, Tim D. and Orr, Kent E. and Teichner, Peter}, TITLE = {Knot concordance, {W}hitney towers and {$L\sp 2$}-signatures}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {157}, YEAR = {2003}, NUMBER = {2}, PAGES = {433--519}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {57M25 (57M27)}, MRNUMBER = {MR1973052 (2004i:57003)}, MRREVIEWER = {Martin Scharlemann}, } @article{cochran-friedl-teichner:newslice, title = "New constructions of slice links", AUTHOR = {Cochran, Tim D. and Friedl, Stefan and Teichner, Peter}, journal = comm, volume = 84, year = 2009, pages = {617--638} } @article {collin-saveliev:fs, AUTHOR = {Collin, Olivier and Saveliev, Nikolai}, TITLE = {A geometric proof of the {F}intushel-{S}tern formula}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {147}, YEAR = {1999}, NUMBER = {2}, PAGES = {304--314}, ISSN = {0001-8708}, CODEN = {ADMTA4}, MRCLASS = {57M27 (32S55 57R20 57R58)}, MRNUMBER = {2001b:57023}, MRREVIEWER = {Bruno Zimmermann}, } @article {collin-saveliev:casson, AUTHOR = {Collin, Olivier and Saveliev, Nikolai}, TITLE = {Equivariant {C}asson invariants via gauge theory}, JOURNAL = {J. Reine Angew. Math.}, FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik}, VOLUME = {541}, YEAR = {2001}, PAGES = {143--169}, ISSN = {0075-4102}, CODEN = {JRMAA8}, MRCLASS = {57R58 (57M27)}, MRNUMBER = {2002k:57077}, MRREVIEWER = {Paul A. Kirk}, } @incollection{conway, author = "Conway, J.", title = "An enumeration of knots and links and some of their algebraic properties", editor = "Leech, J.", booktitle = "Computational Problems in Abstract Algebra", publisher = "Pergamon Press", address = "Oxford", pages = "329--358", year = 1970} @incollection {cooper:abelian-cover, AUTHOR = {Cooper, D.}, TITLE = {The universal abelian cover of a link}, BOOKTITLE = {Low-dimensional topology ({B}angor, 1979)}, SERIES = {London Math. Soc. Lecture Note Ser.}, VOLUME = {48}, PAGES = {51--66}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {1982}, MRCLASS = {57M25}, MRNUMBER = {MR662427 (83g:57002)}, } @phdthesis{cooper:thesis, author = "Cooper, D.", title = "Signatures of surfaces in 3-manifolds and applications to knot and link cobordism", school = "Warwick University", year = 1982} @article {croke:isoperimetric, AUTHOR = {Croke, Christopher B.}, TITLE = {Some isoperimetric inequalities and eigenvalue estimates}, JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)}, FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme S\'erie}, VOLUME = {13}, YEAR = {1980}, NUMBER = {4}, PAGES = {419--435}, ISSN = {0012-9593}, CODEN = {ASENAH}, MRCLASS = {58G25 (35P15 49G05 53C65)}, MRNUMBER = {83d:58068}, MRREVIEWER = {A. G. Ramm}, } @article{cs:s-cobordism2, AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.}, TITLE = {Smooth nontrivial $4$-dimensional $s$-cobordisms}, JOURNAL = "bams", VOLUME = {17}, YEAR = {1987}, PAGES = {141--143}, NOTE = "Corrigendum, {Bull.\ A.M.S. {\bf 17} (1987), page 401.}" } @article{culler-shalen:varieties, author = "Culler, M. and Shalen, P.", title = "Varieties of group representations and splittings of 3-manifolds", journal = annals, volume = 117, year = 1983, pages = "109--146"} @article{culler:lifting, author = "Culler, M.", title = "Lifting representations to covering groups", journal = advances, volume = 59, pages = "64-70", year = 1986} @article{curtis:casson, author = "Curtis, Cynthia L.", title = "Generalized {Casson} invariants for ${\rm SO}(3),\;{\rm U}(2),\;{\rm Spin}(4),$ and ${\rm SO}(4)$", journal = tams, volume = 343, year = 1994, pages = "49--86"} @article{curtis-freedman-hsiang-stong, AUTHOR = {Curtis, C. L. and Freedman, M. H. and Hsiang, W. C. and Stong, R.}, TITLE = {A decomposition theorem for {$h$}-cobordant smooth simply-connected compact {$4$}-manifolds}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {123}, YEAR = {1996}, NUMBER = {2}, PAGES = {343--348}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {57N13 (57R80)}, MRNUMBER = {1374205 (97e:57020)}, MRREVIEWER = {Alexander I. Suciu}, DOI = {10.1007/s002220050031}, URL = {http://dx.doi.org/10.1007/s002220050031}, } @article {daniel-kirk:splitting, AUTHOR = {Daniel, M. and Kirk, P.}, TITLE = {A general splitting formula for the spectral flow}, NOTE = {With an appendix by K. P. Wojciechowski}, JOURNAL = {Michigan Math. J.}, FJOURNAL = {The Michigan Mathematical Journal}, VOLUME = {46}, YEAR = {1999}, NUMBER = {3}, PAGES = {589--617}, ISSN = {0026-2285}, MRCLASS = {58J30 (53D12 58J35)}, MRNUMBER = {2000j:58044}, MRREVIEWER = {Liviu I. Nicolaescu}, } @article {MR2000c:58046, AUTHOR = {Daniel, Mark}, TITLE = {An extension of a theorem of {N}icolaescu on spectral flow and the {M}aslov index}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {128}, YEAR = {2000}, NUMBER = {2}, PAGES = {611--619}, ISSN = {0002-9939}, CODEN = {PAMYAR}, MRCLASS = {58J30 (53D12)}, MRNUMBER = {2000c:58046}, MRREVIEWER = {Paul A. Kirk}, } @unpublished{daniel:splitting, author = "Daniel, M.", title = "A splitting formula for spectral flow", year = 1996, note = "preprint"} @article {davis:semi, AUTHOR = {Davis, James F.}, TITLE = {The surgery semicharacteristic}, JOURNAL = {Proc. London Math. Soc. (3)}, FJOURNAL = {Proceedings of the London Mathematical Society. Third Series}, VOLUME = {47}, YEAR = {1983}, PAGES = {411--428} } @book{davis-milgram:survey, AUTHOR = {Davis, J. F. and Milgram, R. J.}, TITLE = {A survey of the spherical space form problem}, SERIES = {Mathematical Reports}, VOLUME = {2}, PUBLISHER = {Harwood Academic Publishers}, ADDRESS = {Chur}, YEAR = {1985} } @article {davis:hopf, AUTHOR = {Davis, James F.}, TITLE = {A two component link with {A}lexander polynomial one is concordant to the {H}opf link}, JOURNAL = {Math. Proc. Cambridge Philos. Soc.}, FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical Society}, VOLUME = {140}, YEAR = {2006}, NUMBER = {2}, PAGES = {265--268}, ISSN = {0305-0041}, CODEN = {MPCPCO}, MRCLASS = {57M25 (57M27)}, MRNUMBER = {MR2212279 (2006k:57010)}, MRREVIEWER = {Richard John Hadji}, DOI = {10.1017/S0305004105008856}, URL = {http://dx.doi.org/10.1017/S0305004105008856}, } @book{davis-kirk:at, AUTHOR = {Davis, James F. and Kirk, Paul}, TITLE = {Lecture notes in algebraic topology}, SERIES = {Graduate Studies in Mathematics}, VOLUME = {35}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {2001}, PAGES = {xvi+367}, ISBN = {0-8218-2160-1}, MRCLASS = {55-01 (57-01)}, MRNUMBER = {MR1841974 (2002f:55001)}, MRREVIEWER = {Don Shimamoto}, } @article {debrunner:brunnian, AUTHOR = {Debrunner, Hans}, TITLE = {Links of {B}runnian type}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {28}, YEAR = {1961}, PAGES = {17--23}, ISSN = {0012-7094}, MRCLASS = {55.20}, MRNUMBER = {0137106 (25 \#562)}, MRREVIEWER = {R. H. Fox}, } @incollection {deligne:zariski, AUTHOR = {Deligne, Pierre}, TITLE = {Le groupe fondamental du compl\'ement d'une courbe plane n'ayant que des points doubles ordinaires est ab\'elien (d'apr\`es {W}. {F}ulton)}, BOOKTITLE = {Bourbaki {S}eminar, {V}ol. 1979/80}, SERIES = {Lecture Notes in Math.}, VOLUME = {842}, PAGES = {1--10}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1981}, MRCLASS = {14H30 (14H20 14H45)}, MRNUMBER = {MR636513 (83f:14026)}, MRREVIEWER = {Richard Randell}, } @article{diestel-kuhn:cycles, author = "Diestel, R. and {K\"uhn}, D.", title = "On Infinite Cycles {I}", journal = "Combinatorica", volume= 24, year =2004, pages = "69--89"} @article{dold-whitney, author = "Dold, A. and Whitney, H.", title = "Classification of oriented sphere bundles over a 4-complex", journal = annals, volume = 69, year = 1959, pages = "667--677"} @book{dfk, author = "S.K. Donaldson and M. Furuta and D. Kotschick", title = "{Floer Homology}", note = "Book in preparation" } @article{donaldson, AUTHOR = {Donaldson, S. K.}, TITLE = {An application of gauge theory to four-dimensional topology}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {18}, YEAR = {1983}, NUMBER = {2}, PAGES = {279--315}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {57N13 (53C05 57R10 57R55 58E15)}, MRNUMBER = {MR710056 (85c:57015)}, MRREVIEWER = {R. C. Kirby}, } @incollection {donaldson:durham, AUTHOR = {Donaldson, S. K.}, TITLE = {Yang-{M}ills invariants of four-manifolds}, BOOKTITLE = {Geometry of low-dimensional manifolds, 1 (Durham, 1989)}, PAGES = {5--40}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {1990}, MRCLASS = {57R57 (32J15 57-02 57N13 57R55 58B15 58D27)}, MRNUMBER = {93f:57040}, MRREVIEWER = {Ronald J. Stern}, } @book{donaldson-kronheimer, author = "S.K. Donaldson and P.B. Kronheimer", title = "{The Geometry of Four-Manifolds}", publisher = "Clarendon Press", address = "Oxford", year = "1990"} @article{donaldson:abc, author = {Donaldson, S. K.}, title = "Connections, cohomology, and the intersection forms of smooth 4-manifolds", volume = 24, pages = "275--342", journal = jdg, year = 1986} @article{donaldson:dolgachev, author = {Donaldson, S. K.}, title = "Irrationality and the h-cobordism conjecture", journal = jdg, volume = 26, pages = "141--168", year = 1987} @book{donaldson:floer, author = {Donaldson, S. K.}, title = "{Floer Homology Groups in Yang--Mills Theory}", year = 2002, publisher = "Cambridge University Press"} @article{donaldson:ns, author = {Donaldson, S. K.}, title = "{A new proof of a theorem of Narasimhan and Seshadri}", journal = jdg, volume = 18, pages = "269--277", year = 1983} @article{donaldson:orientation, author = {Donaldson, S. K.}, title = "The orientation of {Yang--Mills} moduli spaces and 4-manifold topology", journal = jdg, volume = 26, pages = "397--428", year = 1987} @unpublished{donaldson:personal, author = {Donaldson, S. K.}, note = "{Letter, September 1989}"} @article{donaldson:polynomial, author = {Donaldson, S. K.}, title = "Polynomial invariants of smooth 4-manifolds", journal = top, volume = 29, pages = "257--315", year = 1990} @incollection {donaldson:Yang-Mills, AUTHOR = {Donaldson, S. K.}, TITLE = {Yang-{M}ills invariants of four-manifolds}, BOOKTITLE = {Geometry of low-dimensional manifolds, 1 (Durham, 1989)}, PAGES = {5--40}, SERIES = {London Math. Soc. Lecture Note Ser.}, VOLUME = {150}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {1990}, } @article{donaldson:stable, author = {Donaldson, S. K.}, title = "Anti Self--dual {Yang--Mills} Connections over complex algebraic surfaces and stable vector bundles", journal = plms, volume = 50, pages = "1--26", year = 1985} @article {donaldson:swsurvey, AUTHOR = {Donaldson, S. K.}, TITLE = {The {S}eiberg-{W}itten equations and $4$-manifold topology}, JOURNAL = {Bull. Amer. Math. Soc. (N.S.)}, FJOURNAL = {American Mathematical Society. Bulletin. New Series}, VOLUME = {33}, YEAR = {1996}, NUMBER = {1}, PAGES = {45--70}, ISSN = {0273-0979}, CODEN = {BAMOAD}, MRCLASS = {57R57 (57R15 57R55 58D27)}, MRNUMBER = {96k:57033}, MRREVIEWER = {Daniel S. Freed}, } @article {donnelly-li:semigroup, AUTHOR = {Donnelly, Harold and Li, Peter}, TITLE = {Lower bounds for the eigenvalues of {R}iemannian manifolds}, JOURNAL = {Michigan Math. J.}, FJOURNAL = {The Michigan Mathematical Journal}, VOLUME = {29}, YEAR = {1982}, NUMBER = {2}, PAGES = {149--161}, ISSN = {0026-2285}, MRCLASS = {58G25 (58G11)}, MRNUMBER = {83g:58069}, MRREVIEWER = {G{\'e}rard Besson}, } @inproceedings {donaldson:casson, AUTHOR = {Donaldson, S. K.}, TITLE = {Topological field theories and formulae of {C}asson and {M}eng-{T}aubes}, BOOKTITLE = {Proceedings of the Kirbyfest (Berkeley, CA, 1998)}, SERIES = {Geom. Topol. Monogr.}, VOLUME = {2}, PAGES = {87--102 (electronic)}, PUBLISHER = {Geom. Topol. Publ., Coventry}, YEAR = {1999}, MRCLASS = {57R56 (14H60 57Q10 57R57)}, MRNUMBER = {2001f:57033}, MRREVIEWER = {Liviu I. Nicolaescu}, } @article {eells-lemaire:report-I, AUTHOR = {Eells, J. and Lemaire, L.}, TITLE = {A report on harmonic maps}, JOURNAL = {Bull. London Math. Soc.}, FJOURNAL = {The Bulletin of the London Mathematical Society}, VOLUME = {10}, YEAR = {1978}, NUMBER = {1}, PAGES = {1--68}, ISSN = {0024-6093}, CODEN = {LMSBBT}, MRCLASS = {58E20 (31C25)}, MRNUMBER = {MR495450 (82b:58033)}, MRREVIEWER = {V. L. Hansen}, } @article{eckmann-wayne, author = "Eckmann, J.-P. and Wayne, C.E.", title = "Propagating fronts and the center manifold theorem", journal = cmp, volume = 136, year = 1991, pages = "285--307"} @article{edmonds:aspects, author = "Edmonds, A.", title = "Aspects of group actions on four-manifolds", journal = topapp, volume = 31, year = 1989, pages = "109--124"} @article{edmonds:construction, author = "Edmonds, A.", title = "Construction of group actions on four-manifolds", journal = tams, volume = 299, year = 1987, pages = "155--170"} @article{eftekhary:double, AUTHOR = {Eftekhary, Eaman}, TITLE = {Longitude {F}loer homology and the {W}hitehead double}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {5}, YEAR = {2005}, PAGES = {1389--1418 (electronic)}, ISSN = {1472-2747}, MRCLASS = {57R58 (57M27)}, MRNUMBER = {MR2171814 (2006f:57033)}, MRREVIEWER = {Stanislav Jabuka}, URL ="http://www.msp.warwick.ac.uk/agt/2005/05/p054.xhtml" } @misc{eftekhary:gluing, AUTHOR = {Eftekhary, Eaman}, TITLE = {Filtration of {Heegaard Floer} homology and gluing formulas}, note= "http://arxiv.org/abs/math.GT/0410356", year = 2004} @misc{eftekhary:torus-lecture, AUTHOR = {Eftekhary, Eaman}, TITLE = {{Heegaard Floer} homology and existence of incompressible tori}, note= "Harvard lecture", year = 2007} @article{err:curvature, AUTHOR = {Elworthy, K. D. and Rosenberg, Steven}, TITLE = {Manifolds with wells of negative curvature}, NOTE = {With an appendix by Daniel Ruberman}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {103}, YEAR = {1991}, NUMBER = {3}, PAGES = {471--495}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {53C21 (58G11 58G25 58G32)}, MRNUMBER = {MR1091615 (92a:53059)}, MRREVIEWER = {J. S. Joel}, } @article{endo:concordance, AUTHOR = {Endo, Hisaaki}, TITLE = {Linear independence of topologically slice knots in the smooth cobordism group}, JOURNAL = {Topology Appl.}, FJOURNAL = {Topology and its Applications}, VOLUME = {63}, YEAR = {1995}, NUMBER = {3}, PAGES = {257--262}, ISSN = {0166-8641}, CODEN = {TIAPD9}, MRCLASS = {57M25 (57N70)}, MRNUMBER = {MR1334309 (96c:57010)}, MRREVIEWER = {Sergey S. Anisov}, } @article{farber-levine:jumps, author = "Farber, M. S. and Levine, J.P.", note = "{W}ith an appendix by Shmuel Weinberger", title = "Jumps of the $\eta$-invariant", journal = "Math. Z.", volume = 223, year = 1996, pages = "197--246"} @article{farrell:cohomology, author = "Farrell, F.T.", title = "The second cohomology group of G with $Z_2 G $ coefficients", journal =top, volume= 13, year= 1974, pages = {313--326} } @article{farrell, author = "Farrell, F.T.", title = "The obstruction to fibering a manifold over a circle", journal = "Proc. \ I.C.M. (Nice)", year = 1970, pages = "69--72"} @unpublished {feehan-leness:book, AUTHOR = {Feehan, Paul M. N. and Leness, Thomas G.}, TITLE = {{An SO(3)-monopole cobordism formula relating Donaldson and Seiberg-Witten invariants}}, NOTE = {Preliminary version, available from {http://www.fiu.edu/$\sim$lenesst/CobordismBook.pdf}}, url = {http://www.fiu.edu/$\sim$lenesst/CobordismBook.pdf}, year = 2003} @incollection {feehan-leness:survey2001, AUTHOR = {Feehan, Paul M. N. and Leness, Thomas G.}, TITLE = {On {D}onaldson and {S}eiberg-{W}itten invariants}, BOOKTITLE = {Topology and geometry of manifolds (Athens, GA, 2001)}, SERIES = {Proc. Sympos. Pure Math.}, VOLUME = {71}, PAGES = {237--248}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {2003}, MRCLASS = {57R57 (53C27)}, MRNUMBER = {MR2024636 (2004j:57042)}, MRREVIEWER = {Vicente Mu{\~n}oz}, } @inproceedings {feehan-leness:lowdeg, AUTHOR = {Feehan, Paul M. N. and Leness, Thomas G.}, TITLE = {{$\rm SO(3)$} monopoles, level-one {S}eiberg-{W}itten moduli spaces, and {W}itten's conjecture in low degrees}, BOOKTITLE = {Proceedings of the 1999 Georgia Topology Conference (Athens, GA)}, JOURNAL = {Topology Appl.}, FJOURNAL = {Topology and its Applications}, VOLUME = {124}, YEAR = {2002}, NUMBER = {2}, PAGES = {221--326}, ISSN = {0166-8641}, CODEN = {TIAPD9}, MRCLASS = {57R57 (58D27)}, MRNUMBER = {MR1936209 (2003i:57049)}, MRREVIEWER = {Vicente Mu{\~n}oz}, } @article {feehen-leness:PU2-II, AUTHOR = {Feehan, Paul M. N. and Leness, Thomas G.}, TITLE = {{$\rm PU(2)$} monopoles. {II}. {T}op-level {S}eiberg-{W}itten moduli spaces and {W}itten's conjecture in low degrees}, JOURNAL = {J. Reine Angew. Math.}, FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik}, VOLUME = {538}, YEAR = {2001}, PAGES = {135--212}, ISSN = {0075-4102}, CODEN = {JRMAA8}, MRCLASS = {57R57 (53C27 57N13)}, MRNUMBER = {MR1855755 (2002f:57068)}, MRREVIEWER = {Vicente Mu{\~n}oz}, } @article {MR1855754, AUTHOR = {Feehan, Paul M. N. and Leness, Thomas G.}, TITLE = {{$\rm PU(2)$} monopoles and links of top-level {S}eiberg-{W}itten moduli spaces}, JOURNAL = {J. Reine Angew. Math.}, FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik}, VOLUME = {538}, YEAR = {2001}, PAGES = {57--133}, ISSN = {0075-4102}, CODEN = {JRMAA8}, MRCLASS = {57R57 (53C27 57N13)}, MRNUMBER = {MR1855754 (2002f:57067)}, MRREVIEWER = {Vicente Mu{\~n}oz}, } @article {MR1846123, AUTHOR = {Feehan, Paul M. N.}, TITLE = {Generic metrics, irreducible rank-one {PU}(2) monopoles, and transversality}, JOURNAL = {Comm. Anal. Geom.}, FJOURNAL = {Communications in Analysis and Geometry}, VOLUME = {8}, YEAR = {2000}, NUMBER = {5}, PAGES = {905--967}, ISSN = {1019-8385}, MRCLASS = {57R57 (53C07 58B15 58D27 58E15 58J05)}, MRNUMBER = {MR1846123 (2002m:57041)}, MRREVIEWER = {Liviu I. Nicolaescu}, } @article {MR1664908, AUTHOR = {Feehan, Paul M. N. and Leness, Thomas G.}, TITLE = {{$\rm PU(2)$} monopoles. {I}. {R}egularity, {U}hlenbeck compactness, and transversality}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {49}, YEAR = {1998}, NUMBER = {2}, PAGES = {265--410}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {57R57 (58D27)}, MRNUMBER = {MR1664908 (2000e:57052)}, MRREVIEWER = {Liviu I. Nicolaescu}, } @article {MR1634566, AUTHOR = {Feehan, Paul M. N. and Leness, Thomas G.}, TITLE = {{${\rm PU}(2)$} monopoles and relations between four-manifold invariants}, NOTE = {Symplectic, contact and low-dimensional topology (Athens, GA, 1996)}, JOURNAL = {Topology Appl.}, FJOURNAL = {Topology and its Applications}, VOLUME = {88}, YEAR = {1998}, NUMBER = {1-2}, PAGES = {111--145}, ISSN = {0166-8641}, CODEN = {TIAPD9}, MRCLASS = {57R57 (58D27)}, MRNUMBER = {MR1634566 (2000d:57049)}, } @article {MR2000f:57035, AUTHOR = {Feehan, P. M. N. and Kronheimer, P. B. and Leness, T. G. and Mrowka, T. S.}, TITLE = {$\rm {P}{U}(2)$ monopoles and a conjecture of {M}ari\~no, {M}oore, and {P}eradze}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {6}, YEAR = {1999}, NUMBER = {2}, PAGES = {169--182}, ISSN = {1073-2780}, MRCLASS = {57R57 (53C27)}, MRNUMBER = {2000f:57035}, MRREVIEWER = {Paolo Lisca}, } @incollection {finashin-kreck-viro:surfaces, AUTHOR = {Finashin, S. M. and Kreck, M. and Viro, O. Ya.}, TITLE = {Nondiffeomorphic but homeomorphic knottings of surfaces in the {$4$}-sphere}, BOOKTITLE = {Topology and geometry---Rohlin Seminar}, SERIES = {Lecture Notes in Math.}, VOLUME = {1346}, PAGES = {157--198}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1988}, MRCLASS = {57N13 (57Q45 57R55)}, MRNUMBER = {MR970078 (90h:57021)}, MRREVIEWER = {Ian Hambleton}, } @article{finashin:surfaces, AUTHOR = {Finashin, Sergey}, TITLE = {Knotting of algebraic curves in {$\mathbb{C}\mathrm{P}\sp 2$}}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {41}, YEAR = {2002}, NUMBER = {1}, PAGES = {47--55}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {57R95 (14J80 57R57)}, MRNUMBER = {MR1871240 (2003c:57042)}, MRREVIEWER = {Yi-Jen Lee}, } @article{fintushel-lawson:compactness, author = "Fintushel, R. and Lawson, T.", title = "Compactness of modulil spaces for orbifold instantons", journal = topapp, volume = 23, year = 1986, pages = "305--312"} @article{floer:instanton, author = "Floer, A.", title = "An instanton invariant for 3-manifolds", journal = cmp, volume = 118, year = 1989, pages = "215--240"} @incollection {floer:knots, AUTHOR = {Floer, A.}, TITLE = {Instanton homology and {D}ehn surgery}, BOOKTITLE = {The Floer memorial volume}, PAGES = {77--97}, PUBLISHER = {Birkh\"auser}, ADDRESS = {Basel}, YEAR = {1995}, MRCLASS = {57R57 (55N35 57N10)}, MRNUMBER = {96m:57051}, MRREVIEWER = {Vicente Mu\~{n}oz} } @article {fox-milnor:abs, AUTHOR = {Fox, Ralph H. and Milnor, John W.}, TITLE = {Singularities of {$2$}-spheres in {$4$}-space and equivalence of knots}, JOURNAL = bams, VOLUME = {63}, YEAR = {1957}, PAGES = {406} } @article {fox-milnor, AUTHOR = {Fox, Ralph H. and Milnor, John W.}, TITLE = {Singularities of {$2$}-spheres in {$4$}-space and cobordism of knots}, JOURNAL = {Osaka J. Math.}, FJOURNAL = {Osaka Journal of Mathematics}, VOLUME = {3}, YEAR = {1966}, PAGES = {257--267}, ISSN = {0030-6126}, MRCLASS = {55.20 (57.00)}, MRNUMBER = {MR0211392 (35 \#2273)}, MRREVIEWER = {C. H. Giffen}, } @incollection {fox:periodic, AUTHOR = {Fox, R. H.}, TITLE = {Knots and periodic transformations}, BOOKTITLE = {Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961)}, PAGES = {177--182}, PUBLISHER = {Prentice-Hall}, ADDRESS = {Englewood Cliffs, N.J.}, YEAR = {1962}, MRCLASS = {55.20 (55.36)}, MRNUMBER = {25 \#3524}, MRREVIEWER = {L. Neuwirth}, } @article {fox:rolling, AUTHOR = {Fox, R. H.}, TITLE = {Rolling}, JOURNAL = {Bull. Amer. Math. Soc.}, VOLUME = {72}, YEAR = {1966}, PAGES = {162--164}, MRCLASS = {55.20}, MRNUMBER = {MR0184221 (32 \#1694)}, MRREVIEWER = {W. R. Alford}, } @book{freed-uhlenbeck, author = "Freed, D.S. and Uhlenbeck, K.", title = "Instantons and 4-Manifolds", year = 1984, series = "MSRI Lecture notes", publisher = "Springer-Verlag"} @article{freed-vafa, author = "Freed,D.S. and Vafa,C.", journal = cmp, title = "Global anomalies on orbifolds", volume = 110, year = 1987, pages = "349--390"} @article{freed:csI, AUTHOR = {Freed, Daniel S.}, TITLE = {Classical {C}hern-{S}imons theory. {I}}, JOURNAL = {Adv. Math.}, VOLUME = {113}, YEAR = {1995}, PAGES = {237--303} } @unpublished{freed:csII, author = "Freed, D.S.", title = "Classical {Chern-Simons} theory, {II}", year = 1992, note = "Preprint"} @article{freedman-taylor:splitting, AUTHOR = {Freedman, Michael H. and Taylor, Lawrence}, TITLE = {{$\Lambda $}-splitting {$4$}-manifolds}, JOURNAL = {Topology}, VOLUME = {16}, YEAR = {1977}, NUMBER = {2}, PAGES = {181--184}, MRCLASS = {57D65 (57B10)}, MRNUMBER = {56 \#1329}, MRREVIEWER = {Norman Levitt}, } @incollection {freedman-kirby:rohlin, AUTHOR = {Freedman, Michael and Kirby, Robion}, TITLE = {A geometric proof of {R}ochlin's theorem}, BOOKTITLE = {Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976), Part 2}, SERIES = {Proc. Sympos. Pure Math., XXXII}, PAGES = {85--97}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, R.I.}, YEAR = {1978}, MRCLASS = {57R95}, MRNUMBER = {MR520525 (80f:57015)}, MRREVIEWER = {Terry Lawson}, } @article{freedman:non-simply-connected, author = "Freedman, M.", title = "The disk theorem for four-dimensional manifolds", journal = "Proc. \ I.C.M. (Warsaw)", year = 1983, pages = "647--663"} @article{freedman:simply-connected, author = "Freedman, M.", title = "The topology of four--dimensional manifolds", journal = jdg, year = 1982, volume = 17, pages = "357--432"} @article {freedman:concordance, AUTHOR = {Freedman, Michael H.}, TITLE = {A surgery sequence in dimension four;\ the relations with knot concordance}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {68}, YEAR = {1982}, NUMBER = {2}, PAGES = {195--226}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {57M25 (57R65)}, MRNUMBER = {MR666159 (84e:57006)}, MRREVIEWER = {Frank Quinn}, } @article {fhs:surfaces, AUTHOR = {Freedman, Michael and Hass, Joel and Scott, Peter}, TITLE = {Least area incompressible surfaces in $3$-manifolds}, JOURNAL = {Invent. Math.}, VOLUME = {71}, YEAR = {1983}, NUMBER = {3}, PAGES = {609--642} } @book{freedman-quinn, author = "Freedman, M. and Quinn, F.", title = "Topology of $4$-manifolds", publisher = "Princeton University Press", address = "Princeton, N.J.", year = 1990} @article {freedman-teichner:subexponential, AUTHOR = {Freedman, Michael H. and Teichner, Peter}, TITLE = {{$4$}-manifold topology. {I}. {S}ubexponential groups}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {122}, YEAR = {1995}, NUMBER = {3}, PAGES = {509--529}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {57N13}, MRNUMBER = {MR1359602 (96k:57015)}, MRREVIEWER = {Tatsuhiko Yagasaki}, } @article{fried:round, AUTHOR = {Fried, David}, TITLE = {The geometry of cross sections to flows}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {21}, YEAR = {1982}, NUMBER = {4}, PAGES = {353--371}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {58F25 (58F99)}, MRNUMBER = {MR670741 (84d:58068)}, MRREVIEWER = {M. I. Brin}, } @article {friedl-teichner:slice, AUTHOR = {Friedl, Stefan and Teichner, Peter}, TITLE = {New topologically slice knots}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {9}, YEAR = {2005}, PAGES = {2129--2158 (electronic)}, ISSN = {1465-3060}, MRCLASS = {57M25 (57M27 57N70)}, MRNUMBER = {MR2209368 (2007b:57007)}, MRREVIEWER = {Jacob Andrew Rasmussen}, note = {Correction: Geom. Topol. {\bf 10}, {2501--2504}, 2006} } @article {friedman:monodromy, AUTHOR = {Friedman, Robert}, TITLE = {A degenerating family of quintic surfaces with trivial monodromy}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {50}, YEAR = {1983}, NUMBER = {1}, PAGES = {203--214}, ISSN = {0012-7094}, CODEN = {DUMJAO}, MRCLASS = {14J15 (32G05)}, MRNUMBER = {84k:14027}, MRREVIEWER = {Jayant M. Shah}, } @book{friedman-morgan:book, author = "Friedman,Robert and Morgan,John W.", title = "{Smooth Four-manifolds and complex surfaces}", publisher = "Springer-Verlag", year = 1994, address = "New York"} @article{friedman-morgan:complex-surfaces-I, author = "Friedman,R. and Morgan,J.", title = "On the diffeomorphism types of certain complex surfaces: {I}", journal = jdg, year = 1988, volume = 27, pages = "297--369"} @article{friedman:elliptic, author = "Friedman, R.", title = "Rank two vector bundles over regular elliptic surfaces", journal = invent, volume = 96, year = 1989, pages = "283--332"} @article{friedman:so3, author = "Friedman, R.", title = "Vector bundles and {SO($3$)}-invariants for elliptic surfaces", journal = jams, volume = 8, pages = "29--139", year = 1995} @article{friedman:so3i, author = "Friedman, R.", title = "Vector bundles and {SO(3)}-invariants for elliptic surfaces", journal = jams, volume = 8, pages = "29--139", year = 1995} @unpublished{friedman:so3ii, author = "Friedman, R.", title = "Vector bundles and {SO(3)}-invariants for elliptic surfaces {II}", year = 1993, note = "Preprint"} @unpublished{friedman:so3iii, author = "Friedman, R.", title = "Vector bundles and {SO(3)}-invariants for elliptic surfaces {III}", year = 1993, note = "Preprint"} @article {friedman-morgan:sw-surfaces, AUTHOR = {Friedman, Robert and Morgan, John W.}, TITLE = {Algebraic surfaces and {S}eiberg-{W}itten invariants}, JOURNAL = {J. Algebraic Geom.}, FJOURNAL = {Journal of Algebraic Geometry}, VOLUME = {6}, YEAR = {1997}, NUMBER = {3}, PAGES = {445--479}, ISSN = {1056-3911}, MRCLASS = {32J27 (14J26 14J29 57R57 58D27)}, MRNUMBER = {1487223 (99b:32045)}, MRREVIEWER = {Yildiray Ozan}, } @article {friedman-witt, AUTHOR = {Friedman, John L. and Witt, Donald M.}, TITLE = {Homotopy is not isotopy for homeomorphisms of $3$-manifolds}, JOURNAL = top, VOLUME = {25}, YEAR = {1986}, PAGES = {35--44} } @article {frohman-nicas, AUTHOR = {Frohman, Charles and Nicas, Andrew}, TITLE = {An intersection homology invariant for knots in a rational homology {$3$}-sphere}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {33}, YEAR = {1994}, NUMBER = {1}, PAGES = {123--158}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {57M25 (55N33 57M99 57N10)}, MRNUMBER = {95c:57010}, MRREVIEWER = {Louis Funar}, } @article {froyshov:boundary, AUTHOR = {Fr{\o}yshov, Kim A.}, TITLE = {The {S}eiberg-{W}itten equations and four-manifolds with boundary}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {3}, YEAR = {1996}, NUMBER = {3}, PAGES = {373--390}, ISSN = {1073-2780}, MRCLASS = {57R57 (57N13 57R15)}, MRNUMBER = {97i:57037}, MRREVIEWER = {Weimin Chen}, } @unpublished {froyshov:qhs-floer, AUTHOR = {Fr{\o}yshov, Kim A.}, TITLE = {Monopole Floer homology for rational homology 3Ðspheres}, YEAR = {2008}, note = {http://arxiv.org/abs/0809.4842v3}, url = {http://arxiv.org/abs/0809.4842v3} } @article{fs:involution, author = "Fintushel,R. and Stern, R.", title = "An exotic free involution on {$S\sp{4}$}", journal = annals, volume = 113, year = 1981, pages = "357--365"} @article{fs:rational, author = "Fintushel,R. and Stern, R.", title = "Rational homology cobordisms of spherical space forms", journal = top, volume = 26, year = 1987, pages = "385-393"} @article{fs:graded, author = "Fintushel,R. and Stern, R.", title = "Integer graded instanton homology groups for homology three-spheres", journal = top, volume = 31, year = 1992, pages = "589--604"} @article{fs:sw-blowup, AUTHOR = {Fintushel, Ronald and Stern, Ronald J.}, TITLE = {Immersed spheres in {$4$}-manifolds and the immersed {T}hom conjecture}, JOURNAL = {Turkish J. Math.}, FJOURNAL = {Turkish Journal of Mathematics}, VOLUME = {19}, YEAR = {1995}, NUMBER = {2}, PAGES = {145--157}, ISSN = {1300-0098}, MRCLASS = {57R42 (57N13)}, MRNUMBER = {MR1349567 (96j:57036)}, MRREVIEWER = {Paolo Lisca}, } @article{fs:blowup, author = "Fintushel,R. and Stern, R.", title = "The Blowup formula for {Donaldson} invariants", year = 1996, journal = annals, volume = 143, pages = "529--546"} @article{fs:instanton, author = "Fintushel,R. and Stern,R.", journal = plms, title = "Instanton homology of {Seifert--fibered} homology $3$--spheres", year = 1990, volume = 61, pages = "109--137"} @article{fs:o2-actions, author = "Fintushel,R. and Stern,R.", journal = invent, volume = 87, title = "O(2)-actions on the 5-sphere", year = "1987", pages = "457--476"} @article{fs:pseudo, author = "Fintushel,R. and Stern,R.", journal = annals, volume = 122, title = "Pseudofree orbifolds", year = 1985, pages = "335--364"} @incollection {fs:invariants, AUTHOR = {Fintushel, Ronald and Stern, Ronald J.}, TITLE = {Invariants for homology $3$-spheres}, BOOKTITLE = {Geometry of low-dimensional manifolds, 1 (Durham, 1989)}, PAGES = {125--148}, SERIES = {London Math. Soc. Lecture Note Ser.}, VOLUME = {150}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {1990}, } @article {fs:torsion, AUTHOR = {Fintushel, Ronald and Stern, Ronald J.}, TITLE = {$2$-torsion instanton invariants}, JOURNAL = {J. Amer. Math. Soc.}, FJOURNAL = {Journal of the American Mathematical Society}, VOLUME = {6}, YEAR = {1993}, NUMBER = {2}, PAGES = {299--339}, ISSN = {0894-0347}, MRCLASS = {57R55 (57N13 58D29)}, MRNUMBER = {93f:57038}, MRREVIEWER = {Ian Hambleton}, } @article{fs:simple, AUTHOR = {Fintushel, Ronald and Stern, Ronald J.}, TITLE = {Donaldson invariants of $4$-manifolds with simple type}, JOURNAL = {J. Differential Geom.}, VOLUME = {42}, YEAR = {1995}, NUMBER = {3}, PAGES = {577--633} } @article {fs:knots, AUTHOR = {Fintushel, Ronald and Stern, Ronald J.}, TITLE = {Knots, links, and $4$-manifolds}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {134}, YEAR = {1998}, NUMBER = {2}, PAGES = {363--400}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {57R57 (57M25 57N13 57R55)}, MRNUMBER = {99j:57033}, MRREVIEWER = {Paolo Lisca}, } @article{fs:surfaces, AUTHOR = {Fintushel, Ronald and Stern, Ronald J.}, TITLE = {Surfaces in {$4$}-manifolds}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {4}, YEAR = {1997}, NUMBER = {6}, PAGES = {907--914}, NOTE = {Addendum: http://arxiv.org/abs/math.GT/0511707}, ISSN = {1073-2780}, MRCLASS = {57R57 (57M25 57N13 57R55)}, MRNUMBER = {MR1492129 (98k:57047)}, MRREVIEWER = {Vicente Mu{\~n}oz}, } @article {fs:symplectic-homology, AUTHOR = {Fintushel, Ronald and Stern, Ronald J.}, TITLE = {Symplectic surfaces in a fixed homology class}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {52}, YEAR = {1999}, NUMBER = {2}, PAGES = {203--222}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {57R17 (53D35 57R95)}, MRNUMBER = {MR1758295 (2001j:57036)}, MRREVIEWER = {Ivan Smith}, } @unpublished{fs:addendum, author = {Ronald Fintushel and Ronald J. Stern}, title = {Surfaces in 4-manifolds: Addendum}, url = {http://www.citebase.org/cgi-bin/citations?id=oai:arXiv.org:math/0511707}, note = {http://arxiv.org/abs/math.GT/0511707}, year = {2005} } @article{fintushel-stern-sunukjian:actions, AUTHOR = {Fintushel, Ronald and Stern, Ronald J. and Sunukjian, Nathan}, TITLE = {Exotic group actions on simply connected smooth 4-manifolds}, JOURNAL = {J. Topol.}, FJOURNAL = {Journal of Topology}, VOLUME = {2}, YEAR = {2009}, NUMBER = {4}, PAGES = {769--778}, ISSN = {1753-8416}, MRCLASS = {57R57 (57M60 57R58 57S17)}, MRNUMBER = {2574743}, MRREVIEWER = {Daniel Ruberman}, DOI = {10.1112/jtopol/jtp029}, URL = {http://dx.doi.org/10.1112/jtopol/jtp029}, } @article{fukumoto-furuta, AUTHOR = {Fukumoto, Y. and Furuta, M.}, TITLE = {Homology 3-spheres bounding acyclic 4-manifolds}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {7}, YEAR = {2000}, NUMBER = {5-6}, PAGES = {757--766}, ISSN = {1073-2780}, MRCLASS = {57R80 (57M27 57N10 57R15 57R57)}, MRNUMBER = {MR1809299 (2001m:57063)}, MRREVIEWER = {Nikolai N. Saveliev}, } @article{fukumoto-furuta-ue:w-invariant, AUTHOR = {Fukumoto, Yoshihiro and Furuta, Mikio and Ue, Masaaki}, TITLE = {{$W$}-invariants and {N}eumann-{S}iebenmann invariants for {S}eifert homology {$3$}-spheres}, JOURNAL = {Topology Appl.}, FJOURNAL = {Topology and its Applications}, VOLUME = {116}, YEAR = {2001}, NUMBER = {3}, PAGES = {333--369}, ISSN = {0166-8641}, CODEN = {TIAPD9}, MRCLASS = {57R80 (57M27 57R15 57R57)}, MRNUMBER = {MR1857670 (2002j:57062)}, MRREVIEWER = {Olivier Collin}, } @article{fulton:zariski, AUTHOR = {Fulton, William}, TITLE = {On the fundamental group of the complement of a node curve}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {111}, YEAR = {1980}, NUMBER = {2}, PAGES = {407--409}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {14H20}, MRNUMBER = {MR569076 (82e:14035)}, MRREVIEWER = {Richard Randell}, } @article {furuta:perturbation, AUTHOR = {Furuta, Mikio}, TITLE = {Perturbation of moduli spaces of self-dual connections}, JOURNAL = {J. Fac. Sci. Univ. Tokyo Sect. IA Math.}, FJOURNAL = {Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics}, VOLUME = {34}, YEAR = {1987}, NUMBER = {2}, PAGES = {275--297}, ISSN = {0040-8980}, CODEN = {JFTMAT}, MRCLASS = {57N13 (32G13 53C05 58C15 58D15 58E15 58G10)}, MRNUMBER = {MR914023 (89g:57019)}, MRREVIEWER = {Ronald J. Stern}, } @incollection {furuta:equivariant, AUTHOR = {Furuta, Mikio}, TITLE = {${Z}\sb a$-invariant {SU}$(2)$ instantons over the four sphere}, BOOKTITLE = {Geometry of low-dimensional manifolds, 1 (Durham, 1989)}, PAGES = {161--174}, SERIES = {London Math. Soc. Lecture Note Ser.}, VOLUME = {150}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {1990}, } @article {furuta:cobordism, AUTHOR = {Furuta, Mikio}, TITLE = {Homology cobordism group of homology $3$-spheres}, JOURNAL = {Invent. Math.}, VOLUME = {100}, YEAR = {1990}, PAGES = {339--355} } @article{furuta:118, AUTHOR = {Furuta, M.}, TITLE = {Monopole equation and the {$\frac{11}8$}-conjecture}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {8}, YEAR = {2001}, NUMBER = {3}, PAGES = {279--291}, ISSN = {1073-2780}, MRCLASS = {57R15 (53C27 57R57)}, MRNUMBER = {MR1839478 (2003e:57042)}, } @article {furuta-hashimoto, AUTHOR = {Furuta, Mikio and Hashimoto, Yoshitake}, TITLE = {Invariant instantons on ${S}\sp 4$}, JOURNAL = {J. Fac. Sci. Univ. Tokyo Sect. IA Math.}, VOLUME = {37}, YEAR = {1990}, PAGES = {585--600} } @article {furuta-ohta, AUTHOR = {Furuta, Mikio and Ohta, Hiroshi}, TITLE = {Differentiable structures on punctured $4$-manifolds}, JOURNAL = {Topology Appl.}, FJOURNAL = {Topology and its Applications}, VOLUME = {51}, YEAR = {1993}, NUMBER = {3}, PAGES = {291--301}, ISSN = {0166-8641}, CODEN = {TIAPD9}, MRCLASS = {57R55 (57N13)}, MRNUMBER = {94m:57064}, MRREVIEWER = {Stefan A. Bauer}, } @article {furuta-steer, AUTHOR = {Furuta, Mikio and Steer, Brian}, TITLE = {Seifert fibred homology $3$-spheres and the {Y}ang-{M}ills equations on {R}iemann surfaces with marked points}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {96}, YEAR = {1992}, NUMBER = {1}, PAGES = {38--102}, ISSN = {0001-8708}, CODEN = {ADMTA4}, MRCLASS = {57R57 (14D20 57N10 58E15)}, MRNUMBER = {93m:57034}, MRREVIEWER = {Stefan A. Bauer}, } @article{gabai:foliations, author = "Gabai, D.", title = "Foliations and the topology of 3-manifolds", journal = jdg, year = 1983, volume = 18, pages = "445--503"} @article{gabai:genera, author = "Gabai, D.", title = "Foliations and genera of links", journal = top, volume = 23, year = 1984, pages = "381--394"} @incollection{gabai:murasugi:I, author = "Gabai, D.", title = "The {Murasugi} sum is a natural geometric operation:{I}", booktitle = "Low-Dimensional Topology", editor = "Lomanaco, S.J.", publisher = "American Math.\ Society", pages = "131--143", year = 1984} @article {gajer:cobordism, AUTHOR = {Gajer, Pawe{\l}}, TITLE = {Riemannian metrics of positive scalar curvature on compact manifolds with boundary}, JOURNAL = {Ann. Global Anal. Geom.}, FJOURNAL = {Annals of Global Analysis and Geometry}, VOLUME = {5}, YEAR = {1987}, NUMBER = {3}, PAGES = {179--191}, ISSN = {0232-704X}, CODEN = {ANAGDV}, MRCLASS = {53C20}, MRNUMBER = {89m:53061}, MRREVIEWER = {Viktor Schroeder}, } @article {galewski-stern:simplicial, AUTHOR = {Galewski, David E. and Stern, Ronald J.}, TITLE = {Classification of simplicial triangulations of topological manifolds}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {111}, YEAR = {1980}, NUMBER = {1}, PAGES = {1--34}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {57Q15 (57Q25)}, MRNUMBER = {81f:57012}, MRREVIEWER = {R. C. Kirby}, } @article {gauduchon:torsion, AUTHOR = {Gauduchon, Paul}, TITLE = {La {$1$}-forme de torsion d'une vari\'et\'e hermitienne compacte}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {267}, YEAR = {1984}, NUMBER = {4}, PAGES = {495--518}, ISSN = {0025-5831}, CODEN = {MAANA}, MRCLASS = {53C55 (32C10 58E11)}, MRNUMBER = {742896 (87a:53101)}, MRREVIEWER = {I. Vaisman}, DOI = {10.1007/BF01455968}, URL = {http://dx.doi.org/10.1007/BF01455968}, } @article{geoghegan-mihalik:free, author= "Geoghegan, R. and Mihalik, M.", title = "Free abelian cohomology of groups and ends of universal covers", journal = {J.\ Pure Appl.\ Alg.}, volume = 36, year = 1985, pages = {123--137} } @book {gilkey-leahy-park:submersions, AUTHOR = {Gilkey, Peter B. and Leahy, John V. and Park, Jeonghyeong}, TITLE = {Spectral geometry, {R}iemannian submersions, and the {G}romov-{L}awson conjecture}, PUBLISHER = {Chapman \& Hall/CRC, Boca Raton, FL}, YEAR = {1999}, PAGES = {viii+279}, ISBN = {0-8493-8277-7}, MRCLASS = {58Jxx (53C21 53C27)}, MRNUMBER = {2000j:58035}, MRREVIEWER = {Thomas Schick}, } @incollection {MR99k:58175, AUTHOR = {Gilkey, Peter B.}, TITLE = {The eta invariant, manifolds of positive scalar curvature, and equivariant bordism}, BOOKTITLE = {Geometry, topology and physics (Campinas, 1996)}, PAGES = {157--171}, PUBLISHER = {de Gruyter}, ADDRESS = {Berlin}, YEAR = {1997}, MRCLASS = {58G12 (53C21 55N22 57R85)}, MRNUMBER = {99k:58175}, MRREVIEWER = {Jonathan M. Rosenberg}, } @book{gilkey:sphere, AUTHOR = {Gilkey, Peter B.}, TITLE = {The geometry of spherical space form groups}, NOTE = {With an appendix by A. Bahri and M. Bendersky}, PUBLISHER = {World Scientific Publishing Co. Inc.}, ADDRESS = {Teaneck, NJ}, YEAR = {1989}, PAGES = {x+361}, ISBN = {9971-50-927-X}, MRCLASS = {57R57 (19L41 57R90 58G05 58G11)}, MRNUMBER = {92b:57043}, MRREVIEWER = {V. P. Snaith}, } @article {MR99f:58194, AUTHOR = {Botvinnik, Boris and Gilkey, Peter B.}, TITLE = {The eta invariant and the {G}romov-{L}awson conjecture for elementary abelian groups of odd order}, JOURNAL = {Topology Appl.}, FJOURNAL = {Topology and its Applications}, VOLUME = {80}, YEAR = {1997}, NUMBER = {1-2}, PAGES = {43--53}, ISSN = {0166-8641}, CODEN = {TIAPD9}, MRCLASS = {58G12 (53C21 57R19 57R20)}, MRNUMBER = {99f:58194}, MRREVIEWER = {Andrew J. Baker}, } @article {MR97c:58155, AUTHOR = {Botvinnik, Boris and Gilkey, Peter B.}, TITLE = {Metrics of positive scalar curvature on spherical space forms}, JOURNAL = {Canad. J. Math.}, FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques}, VOLUME = {48}, YEAR = {1996}, NUMBER = {1}, PAGES = {64--80}, ISSN = {0008-414X}, CODEN = {CJMAAB}, MRCLASS = {58G12 (53C21 55N22 57R15 57R57 58G25)}, MRNUMBER = {97c:58155}, MRREVIEWER = {Jonathan M. Rosenberg}, } @incollection {MR97b:57029, AUTHOR = {Gilkey, Peter B. and Botvinnik, Boris}, TITLE = {The eta invariant and the equivariant spin bordism of spherical space form $2$ groups}, BOOKTITLE = {New developments in differential geometry (Debrecen, 1994)}, PAGES = {213--223}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Dordrecht}, YEAR = {1996}, MRCLASS = {57R85 (55N22 55N25 58G10)}, MRNUMBER = {97b:57029}, MRREVIEWER = {Tosiaki Kori}, } @article {MR96f:58159, AUTHOR = {Botvinnik, Boris and Gilkey, Peter B.}, TITLE = {The eta invariant and metrics of positive scalar curvature}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {302}, YEAR = {1995}, NUMBER = {3}, PAGES = {507--517}, ISSN = {0025-5831}, CODEN = {MAANA}, MRCLASS = {58G12 (53C21 53C25 57R15 58D27 58G25)}, MRNUMBER = {96f:58159}, MRREVIEWER = {Jonathan M. Rosenberg}, } @incollection {MR91b:58241, AUTHOR = {Gilkey, Peter B.}, TITLE = {The eta invariant of even order operators}, BOOKTITLE = {Differential geometry (Pe\~n\'\i scola, 1988)}, PAGES = {202--211}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1989}, MRCLASS = {58G10 (19K56 57R90 58G25)}, MRNUMBER = {91b:58241}, MRREVIEWER = {Krzysztof P. Wojciechowski}, } @article {gilkey:even, AUTHOR = {Gilkey, Peter B.}, TITLE = {The eta invariant for even-dimensional {${\rm PIN}\sb {{\rm c}}$} manifolds}, JOURNAL = {Adv. in Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {58}, YEAR = {1985}, NUMBER = {3}, PAGES = {243--284}, ISSN = {0001-8708}, CODEN = {ADMTA4}, MRCLASS = {58G25 (55N15 57R99)}, MRNUMBER = {87b:58089}, MRREVIEWER = {R. E. Stong}, } @article{gilmer-livingston, author = "Gilmer, P. and Livingston, C.", title = "On embedding 3-manifolds in 4-space", journal = top, year = 1983, volume = 22, pages = "241--252"} @article{gilmer:slice, author = "Gilmer, P.", title = "Slice knots in {$S^3$}", journal = qjmath, volume = 34, year = 1983, pages = "305--322"} @article{gilmer:thesis, author = "Gilmer, P.", title = "Configurations of surfaces in 4-manifolds", journal = tams, volume = 264, year = 1981, pages = "353--380"} @article {gilmer:real, AUTHOR = {Gilmer, Patrick}, TITLE = {Real algebraic curves and link cobordism}, JOURNAL = {Pacific J. Math.}, FJOURNAL = {Pacific Journal of Mathematics}, VOLUME = {153}, YEAR = {1992}, NUMBER = {1}, PAGES = {31--69}, ISSN = {0030-8730}, CODEN = {PJMAAI}, MRCLASS = {57M25 (14H45 57N70)}, MRNUMBER = {MR1145914 (93c:57005)}, MRREVIEWER = {Lee Rudolph}, URL = {http://projecteuclid.org/getRecord?id=euclid.pjm/1102635971}, } @article {gilmer:rational, AUTHOR = {Gilmer, Patrick M.}, TITLE = {Link cobordism in rational homology {$3$}-spheres}, JOURNAL = {J. Knot Theory Ramifications}, FJOURNAL = {Journal of Knot Theory and its Ramifications}, VOLUME = {2}, YEAR = {1993}, NUMBER = {3}, PAGES = {285--320}, ISSN = {0218-2165}, MRCLASS = {57M25 (57N70 57Q60)}, MRNUMBER = {94m:57012}, MRREVIEWER = {Charles Livingston}, } @article {gluck:twist, AUTHOR = {Gluck, Herman}, TITLE = {The embedding of two-spheres in the four-sphere}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {104}, YEAR = {1962}, PAGES = {308--333}, ISSN = {0002-9947}, MRCLASS = {55.70}, MRNUMBER = {MR0146807 (26 \#4327)}, MRREVIEWER = {Morton Brown}, } @article{goda-matsuda-morifuji:hfk11, AUTHOR = {Goda, Hiroshi and Matsuda, Hiroshi and Morifuji, Takayuki}, TITLE = {Knot {F}loer homology of {$(1,1)$}-knots}, JOURNAL = {Geom. Dedicata}, FJOURNAL = {Geometriae Dedicata}, VOLUME = {112}, YEAR = {2005}, PAGES = {197--214}, ISSN = {0046-5755}, CODEN = {GEMDAT}, MRCLASS = {57M27 (57M25 57R58)}, MRNUMBER = {MR2163899 (2006e:57014)}, MRREVIEWER = {Jacob Andrew Rasmussen}, } @article {goette:eta-homogeneous, AUTHOR = {Goette, S.}, TITLE = {Eta invariants of homogeneous spaces}, JOURNAL = {Pure Appl. Math. Q.}, FJOURNAL = {Pure and Applied Mathematics Quarterly}, VOLUME = {5}, YEAR = {2009}, NUMBER = {3, Special Issue: In honor of Friedrich Hirzebruch. Part 2}, PAGES = {915--946}, ISSN = {1558-8599}, MRCLASS = {58J28 (53C30)}, MRNUMBER = {2532710 (2010e:58026)}, MRREVIEWER = {Thomas Schick}, } @article{goldman-millson:kahler, author= "Goldman, W. and Millson, J.", title = "The deformation theory of representations of fundamental groups of compact {K\"{a}hler} manifolds", journal = ihes, volume = 67, year = 1988, pages = "43--96"} @article{goldman-millson:kuranishi, author= "Goldman, W. and Millson, J.", title = "The homotopy invariance of the {Kuranishi} space", journal = ill, volume = 34, year = 1990, pages = "337--367"} @article{gompf-mrowka, author = "Gompf, R. and Mrowka, T.", title = "Irreducible 4-manifolds need not be complex", journal = annals, volume = 138, year = 1993, pages = "61--111"} @article {gompf:symplectic, AUTHOR = {Gompf, Robert E.}, TITLE = {A new construction of symplectic manifolds}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {142}, YEAR = {1995}, NUMBER = {3}, PAGES = {527--595}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {57R15 (57N13 57N65)}, MRNUMBER = {MR1356781 (96j:57025)}, MRREVIEWER = {Masaaki Ue}, } @article {gompf:symplectic-gokova, AUTHOR = {Gompf, Robert E.}, TITLE = {Some new symplectic {$4$}-manifolds}, JOURNAL = {Turkish J. Math.}, FJOURNAL = {Turkish Journal of Mathematics}, VOLUME = {18}, YEAR = {1994}, NUMBER = {1}, PAGES = {7--15}, ISSN = {1300-0098}, MRCLASS = {57R15 (57N13 58F05)}, MRNUMBER = {MR1270434 (95j:57025)}, MRREVIEWER = {Daniel Ruberman}, } @book {gompf-stipsicz:book, AUTHOR = {Gompf, Robert E. and Stipsicz, Andr{\'a}s I.}, TITLE = {$4$-manifolds and {K}irby calculus}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {1999}, PAGES = {xvi+558}, ISBN = {0-8218-0994-6}, MRCLASS = {57N13 (14J80 32Q55 57-02 57R17 57R57 57R65)}, MRNUMBER = {2000h:57038}, MRREVIEWER = {Nikolai N. Saveliev}, } @incollection {gordon:aspects, AUTHOR = {Gordon, C. McA.}, TITLE = {Some aspects of classical knot theory}, BOOKTITLE = {Knot theory ({P}roc. {S}em., {P}lans-sur-{B}ex, 1977)}, SERIES = {Lecture Notes in Math.}, VOLUME = {685}, PAGES = {1--60}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1978}, MRCLASS = {57M25}, MRNUMBER = {MR521730 (80f:57002)}, MRREVIEWER = {Wilbur Whitten}, } @article{gordon:contractible, AUTHOR = {Gordon, C. McA.}, TITLE = {Knots, homology spheres, and contractible {$4$}-manifolds}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {14}, YEAR = {1975}, PAGES = {151--172}, ISSN = {0040-9383}, MRCLASS = {57C45}, MRNUMBER = {MR0402762 (53 \#6576)}, MRREVIEWER = {D. W. L. Sumners}, } @unpublished{greene-jabuka:pretzel, TITLE = {The slice-ribbon conjecture for 3-stranded knots}, Author = {Greene, Joshua and Jabuka, Stanislav}, note = "arXiv:0706.3398v2 [math.GT]"} @book{griffiths-harris, author = "Griffiths, P. and Harris, J.", title = "Principles of Algebraic Geometry", publisher = "John Wiley \& Sons", address = "New York", year = 1978} @article {grigsby:hfkbranch, AUTHOR = {Grigsby, J. Elisenda}, TITLE = {Knot {F}loer homology in cyclic branched covers}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {6}, YEAR = {2006}, PAGES = {1355--1398 (electronic)}, ISSN = {1472-2747}, MRCLASS = {57R58 (57M05 57M27)}, MRNUMBER = {MR2253451}, } @unpublished{grigsby:combinat, author = "J. Elisenda Grigsby", title = "Combinatorial Description of {Knot Floer} Homology of Cyclic Branched Covers", year = 2006, note = "http://www.arxiv.org/abs/math.GT/0610238"} @article{grigsby-ruberman-strle:taulift, AUTHOR = {Grigsby, J. Elisenda and Ruberman, Daniel and Strle, Sa{\v{s}}o}, TITLE = {Knot concordance and {Heegaard Floer} homology invariants in branched covers}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {12}, YEAR = {2008}, PAGES = {2249Ð-2275 (electronic)} } @article{gromov:norm, author = "Gromov, M.", title = "Volume and bounded cohomology", journal = ihes, year = 1982, volume = 56, pages = "5--100"} @article {gromov-lawson:spin, AUTHOR = {Gromov, Mikhael and Lawson, H. Blaine, Jr.}, TITLE = {Spin and scalar curvature in the presence of a fundamental group. {I}}, JOURNAL = {Ann. of Math. (2)}, VOLUME = {111}, YEAR = {1980}, PAGES = {209--230} } @article {gromov-lawson:psc, AUTHOR = {Gromov, Mikhael and Lawson, Jr., H. Blaine}, TITLE = {The classification of simply connected manifolds of positive scalar curvature}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {111}, YEAR = {1980}, NUMBER = {3}, PAGES = {423--434}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {53C15 (57R15)}, MRNUMBER = {81h:53036}, MRREVIEWER = {N. J. Hitchin}, } @article{gromov-lawson:complete, AUTHOR = {Gromov, Mikhael and Lawson, Jr., H. Blaine}, TITLE = {Positive scalar curvature and the {D}irac operator on complete {R}iemannian manifolds}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques}, NUMBER = {58}, YEAR = {1983}, PAGES = {83--196 (1984)}, ISSN = {0073-8301}, CODEN = {PMIHA6}, MRCLASS = {58G10 (53C20 57N10 57R99)}, MRNUMBER = {MR720933 (85g:58082)}, MRREVIEWER = {Howard D. Rees}, } @article{grothendieck:holomorphes, author = "Grothendieck, A.", title = "Sur la classification des fibr{\' {e}}s holomorphes sur la sph{\`{e}}re de {Riemann}", journal = "Amer.\ J.\ Math.", year = 1957, volume = 79, pages = "121--138"} @article {gpw:erratum, AUTHOR = {Grove, Karsten and Petersen, V, Peter and Wu, Jyh Yang}, TITLE = {Erratum: ``{G}eometric finiteness theorems via controlled topology''}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {104}, YEAR = {1991}, NUMBER = {1}, PAGES = {221--222}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {53C23 (57N15)}, MRNUMBER = {92b:53065}, MRREVIEWER = {Gudlaugur Thorbergsson}, } @article {gpw:finiteness, AUTHOR = {Grove, Karsten and Petersen, V, Peter and Wu, Jyh Yang}, TITLE = {Geometric finiteness theorems via controlled topology}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {99}, YEAR = {1990}, NUMBER = {1}, PAGES = {205--213}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {53C20 (57N99)}, MRNUMBER = {90k:53075}, MRREVIEWER = {Gudlaugur Thorbergsson}, } @incollection {guillou-marin:rohlin, AUTHOR = {Guillou, Lucien and Marin, Alexis}, TITLE = {Une extension d'un th\'eor\`eme de {R}ohlin sur la signature}, BOOKTITLE = {\`A la recherche de la topologie perdue}, SERIES = {Progr. Math.}, VOLUME = {62}, PAGES = {97--118}, PUBLISHER = {Birkh\"auser Boston}, ADDRESS = {Boston, MA}, YEAR = {1986}, MRCLASS = {57N13 (57R10)}, MRNUMBER = {MR900247}, } @article{gulliver:regularity, author = "Gulliver, R.", title = "Regularity of minimizing surfaces of prescribed mean curvature", journal = annals, volume = 97, pages = "275-305", year = 1973} @article{gurjar:pi2, author = "Gurjar, R.V.", title = "Two remarks on the topology of projective surfaces", journal = annalen, volume = 328, pages = "701--706", year = 2004} @book {hall:2-groups, AUTHOR = {Hall, Marshall, Jr. and Senior, James K.}, TITLE = {The groups of order $2\sp{n}\,(n\leq 6)$}, PUBLISHER = {The Macmillan Co.}, ADDRESS = {New York}, YEAR = {1964} } @article{hambleton-kreck-teichner:z2, author= "Hambleton, I. and Kreck, M. and Teichner, P.", title = "Nonorientable {$4$}-manifolds with fundamental group of order {$2$}.", journal = tams, volume = 344, year = 1994, pages = "649--665"} @article {hambleton-kreck:homotopy, AUTHOR = {Hambleton, Ian and Kreck, Matthias}, TITLE = {Homotopy self-equivalences of 4-manifolds}, JOURNAL = {Math. Z.}, FJOURNAL = {Mathematische Zeitschrift}, VOLUME = {248}, YEAR = {2004}, NUMBER = {1}, PAGES = {147--172}, ISSN = {0025-5874}, CODEN = {MAZEAX}, MRCLASS = {57N13 (55P10 57R80)}, MRNUMBER = {MR2092726 (2005i:57026)}, MRREVIEWER = {Terry Lawson}, } @article {hambleton-lee:definite, AUTHOR = {Hambleton, Ian and Lee, Ronnie}, TITLE = {Smooth group actions on definite {$4$}-manifolds and moduli spaces}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {78}, YEAR = {1995}, NUMBER = {3}, PAGES = {715--732}, ISSN = {0012-7094}, CODEN = {DUMJAO}, MRCLASS = {57S17 (57S25)}, MRNUMBER = {1334207 (96m:57058)}, MRREVIEWER = {S{\"o}ren Illman}, DOI = {10.1215/S0012-7094-95-07826-0}, URL = {http://dx.doi.org/10.1215/S0012-7094-95-07826-0}, } @article {hambleton-lee:equivariant, AUTHOR = {Hambleton, Ian and Lee, Ronnie}, TITLE = {Perturbation of equivariant moduli spaces}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {293}, YEAR = {1992}, NUMBER = {1}, PAGES = {17--37}, ISSN = {0025-5831}, CODEN = {MAANA}, MRCLASS = {57N13 (57R99 57S17 58D19 58D29)}, MRNUMBER = {1162670 (93f:57023)}, MRREVIEWER = {Terry Lawson}, DOI = {10.1007/BF01444700}, URL = {http://dx.doi.org/10.1007/BF01444700}, } @incollection {hambleton-taylor:guide, AUTHOR = {Hambleton, Ian and Taylor, Laurence R.}, TITLE = {A guide to the calculation of the surgery obstruction groups for finite groups}, BOOKTITLE = {Surveys on surgery theory, Vol. 1}, SERIES = {Ann. of Math. Stud.}, VOLUME = {145}, PAGES = {225--274}, PUBLISHER = {Princeton Univ. Press}, ADDRESS = {Princeton, NJ}, YEAR = {2000}, MRCLASS = {19G24 (18F25 19J25 57R67)}, MRNUMBER = {MR1747537 (2001e:19007)}, MRREVIEWER = {Yurij V. Muranov}, NOTE={URL:http://www.math.mcmaster.ca/ian/published/Lgroups\_2000.pdf} } @book{hardy-wright, author = "Hardy, G.H. and Wright, E.M.", title = "An Introduction to the Theory of Numbers", publisher = "Oxford University Press", address = "Oxford", year = 1938} @article{hass-scott:existence, author = "Hass, J. and Scott, P.", title = "The existence of least area surfaces", journal = tams, volume = 310, page = 87, year = 1988} @article {MR2576686, AUTHOR = {Hedden, Matthew}, TITLE = {Khovanov homology of the 2-cable detects the unknot}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {16}, YEAR = {2009}, NUMBER = {6}, PAGES = {991--994}, ISSN = {1073-2780}, MRCLASS = {57M27}, MRNUMBER = {MR2576686}, } @article {MR2511910, AUTHOR = {Hedden, Matthew}, TITLE = {On knot {F}loer homology and cabling. {II}}, JOURNAL = {Int. Math. Res. Not. IMRN}, FJOURNAL = {International Mathematics Research Notices. IMRN}, YEAR = {2009}, NUMBER = {12}, PAGES = {2248--2274}, ISSN = {1073-7928}, MRCLASS = {57M27 (57Rxx)}, MRNUMBER = {MR2511910}, } @inproceedings {MR2509749, AUTHOR = {Hedden, Matthew}, TITLE = {Some remarks on cabling, contact structures, and complex curves}, BOOKTITLE = {Proceedings of {G}\"okova {G}eometry-{T}opology {C}onference 2007}, PAGES = {49--59}, PUBLISHER = {G\"okova Geometry/Topology Conference (GGT), G\"okova}, YEAR = {2008}, MRCLASS = {57R17 (57M25)}, MRNUMBER = {MR2509749}, } @article {MR2435421, AUTHOR = {Hedden, Matthew}, TITLE = {An {O}zsv\'ath-{S}zab\'o {F}loer homology invariant of knots in a contact manifold}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {219}, YEAR = {2008}, NUMBER = {1}, PAGES = {89--117}, ISSN = {0001-8708}, CODEN = {ADMTA4}, MRCLASS = {57M27 (53D40 57R58)}, MRNUMBER = {MR2435421 (2009d:57023)}, MRREVIEWER = {Stanislav Jabuka}, DOI = {10.1016/j.aim.2008.04.007}, URL = {http://dx.doi.org/10.1016/j.aim.2008.04.007}, } @article {MR2429242, AUTHOR = {Baker, Kenneth L. and Grigsby, J. Elisenda and Hedden, Matthew}, TITLE = {Grid diagrams for lens spaces and combinatorial knot {F}loer homology}, JOURNAL = {Int. Math. Res. Not. IMRN}, FJOURNAL = {International Mathematics Research Notices. IMRN}, YEAR = {2008}, NUMBER = {10}, PAGES = {Art. ID rnm024, 39}, ISSN = {1073-7928}, MRCLASS = {57M27 (57R58)}, MRNUMBER = {MR2429242 (2009h:57012)}, MRREVIEWER = {Sabin Cautis}, } @article {MR2405163, AUTHOR = {Hedden, Matthew and Ording, Philip}, TITLE = {The {O}zsv\'ath-{S}zab\'o and {R}asmussen concordance invariants are not equal}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {130}, YEAR = {2008}, NUMBER = {2}, PAGES = {441--453}, ISSN = {0002-9327}, CODEN = {AJMAAN}, MRCLASS = {57M27 (57N70)}, MRNUMBER = {MR2405163 (2009b:57021)}, MRREVIEWER = {Stephen M. Budden}, DOI = {10.1353/ajm.2008.0017}, URL = {http://dx.doi.org/10.1353/ajm.2008.0017}, } @article {hedden:double, AUTHOR = {Hedden, Matthew}, TITLE = {Knot {F}loer homology of {W}hitehead doubles}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry \& Topology}, VOLUME = {11}, YEAR = {2007}, PAGES = {2277--2338}, ISSN = {1465-3060}, MRCLASS = {57M27 (57R58)}, MRNUMBER = {MR2372849 (2008m:57030)}, MRREVIEWER = {Thomas E. Mark}, DOI = {10.2140/gt.2007.11.2277}, URL = {http://dx.doi.org/10.2140/gt.2007.11.2277}, } @article {MR2171808, AUTHOR = {Hedden, Matthew}, TITLE = {On knot {F}loer homology and cabling}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {5}, YEAR = {2005}, PAGES = {1197--1222 (electronic)}, ISSN = {1472-2747}, MRCLASS = {57R58 (57M27)}, MRNUMBER = {MR2171808 (2006m:57042)}, MRREVIEWER = {Olivier Collin}, DOI = {10.2140/agt.2005.5.1197}, URL = {http://dx.doi.org/10.2140/agt.2005.5.1197}, } @unpublished{hedden-livingston-ruberman:alexander, AUTHOR = {Hedden, Matthew and Livingston, Charles and Ruberman, Daniel}, TITLE = {Topologically slice knots with nontrivial {A}lexander polynomial}, YEAR = {2010}, note = {http://arxiv.org/abs/1001.1538}, URL = {http://arxiv.org/abs/1001.1538} } @article{herald:perturbations, author = "Herald, C.", title = "{Legendrian cobordism and Chern--Simons theory on $3$--manifolds with boundary}", journal = "Comm.\ Anal.\ Geom.", volume = 2, pages = "337--413", year = 1994} @article {herald:alexander, AUTHOR = {Herald, Christopher M.}, TITLE = {Flat connections, the {A}lexander invariant, and {C}asson's invariant}, JOURNAL = {Comm. Anal. Geom.}, FJOURNAL = {Communications in Analysis and Geometry}, VOLUME = {5}, YEAR = {1997}, NUMBER = {1}, PAGES = {93--120}, ISSN = {1019-8385}, MRCLASS = {57R57 (57M25 57N10 58D29)}, MRNUMBER = {98i:57062}, MRREVIEWER = {Paul A. Kirk}, } @unpublished{herald:pa9, AUTHOR = {Herald, Christopher M.}, TITLE = {Transversality for equivariant gradient systems and gauge theory on 3--manifolds}, YEAR = {2003}, NOTE= {Preprint} } @article {h-s-u:domination, AUTHOR = {Hess, H. and Schrader, R. and Uhlenbrock, D. A.}, TITLE = {Domination of semigroups and generalization of {K}ato's inequality}, JOURNAL = {Duke Math. J.}, VOLUME = {44}, YEAR = {1977}, NUMBER = {4}, PAGES = {893--904}, MRCLASS = {47D05 (81.47)}, MRNUMBER = {56 \#16446}, MRREVIEWER = {Adriaan Tip}, } @book {hillman:link-invariants, AUTHOR = {Hillman, Jonathan}, TITLE = {Algebraic invariants of links}, SERIES = {Series on Knots and Everything}, VOLUME = {32}, PUBLISHER = {World Scientific Publishing Co. Inc.}, ADDRESS = {River Edge, NJ}, YEAR = {2002}, PAGES = {xii+305}, ISBN = {981-238-154-6}, MRCLASS = {57M27 (57M25)}, MRNUMBER = {MR1932169 (2003k:57014)}, MRREVIEWER = {Charles Livingston}, } @book{hillman:2-knots, author = "Hillman, J.A.", title = "2-Knots and their Groups", publisher = "Cambridge University Press", year = 1989} @book{hirzebruch-neumann-koh, title = "Differentiable Manifolds and Quadratic Forms", author = "Hirzebruch, F. and Neumann, W. and Koh, S.", publisher = "Marcel-Dekker", address = "New York", year = 1971} @book{hirzebruch-zagier, author = "Hirzebruch, F. and Zagier, D.", title = "The Atiyah-Singer Theorem and Elementary Number Theory", publisher = "Publish or Perish", address = "Berkeley", year = 1974} @article{hirzebruch:cover, author = "Hirzebruch, F.", title = "Free involutions on Manifolds and some elementary number theory", journal = "Symp.\ Math.", volume = 5, year = 1970, pages = "411--419"} @incollection{hirzebruch:singularities, author = "Hirzebruch, F.", title = "Singularities of algebraic surfaces and characteristic numbers", booktitle ="{The Lefschetz centennial conference. Part I: Proceedings on algebraic geometry}", editor = "Sundararman, D.", pages = "141--156", year = 1986, publisher = "American Mathematical Society"} @article{hitchin:spinors, author = "Hitchin, N.J.", TITLE = {Harmonic spinors}, JOURNAL = advances, VOLUME = {14}, YEAR = {1974}, PAGES = {1--55}, } @article{hitchin:riemann, author = "Hitchin, N.J.", title = "The self-duality equations on a {Riemann} surface", journal = plms, volume = 55, year = 1987, pages = "59--126"} @article{homfly, author = "Freyd,P. and Hoste,J. and Lickorish,W.B.R. and Millett, K. and Ocneanu,A. and Yetter, D.", title = "A new polynomial invariant of knots and links", journal = bams, volume = 12, year = 1985, pages = "239--246"} @book{hormander:pde, author = "{H\"ormander}, L.", title = "The analysis of linear partial differential operators", publisher = "{Springer--Verlag}", year = "1983--1985", address = "New York", series = "Grundlehren der mathematischen Wissenschaften"} @article{hoste:casson, author = "Hoste, J.", title = "A formula for {Casson's} invariant", journal = tams, volume = 297, year = 1986, pages = "547--562"} @article{hsiang-szczarba, author = "Hsiang, W.-Y. and Szczarba, R.", title = "On embedding surfaces in four--manifolds", journal = psymp, volume = 22, year = 1971, pages = "257--267"} @article {inoue:vii0, AUTHOR = {Inoue, Masahisa}, TITLE = {On surfaces of {C}lass {${\rm VII}_{0}$}}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {24}, YEAR = {1974}, PAGES = {269--310}, ISSN = {0020-9910}, MRCLASS = {32J15 (14J25)}, MRNUMBER = {0342734 (49 \#7479)}, MRREVIEWER = {Tatsuo Suwa}, } @article{jabuka-naik:dcover, AUTHOR = {Jabuka, Stanislav and Naik, Swatee}, TITLE = {Order in the concordance group and {H}eegaard {F}loer homology}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry \& Topology}, VOLUME = {11}, YEAR = {2007}, PAGES = {979--994}, MRCLASS = {57M25 (57R58)}, MRNUMBER = {MR2326940}, } @unpublished{jaco-rubinstein:pl-minimal, author = "Jaco, W. and Rubinstein, H.", title = "Lectures on {PL} minimal surfaces", note = "{MSRI}", year = 1985} @article{jaco-shalen:seifert, author = "Jaco, W. and Shalen, P.", title = "Seifert fibered spaces in 3-manifolds", journal = mams, year = 1976} @unpublished{jaffe:sextic, author = "Jaffe, D.B.", title = "On sextic surfaces having only nodes", note = "preliminary report", year = 1994} @article{jaffe-ruberman:sextic, author = "Jaffe, D.B. and Ruberman, D.", title = "A sextic surface cannot have 66 nodes", journal = jalg, year = 1997, volume = 6, pages = "151--168"} @article{jiang:cg, AUTHOR = {Jiang, Bo Ju}, TITLE = {A simple proof that the concordance group of algebraically slice knots is infinitely generated}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {83}, YEAR = {1981}, NUMBER = {1}, PAGES = {189--192}, ISSN = {0002-9939}, CODEN = {PAMYAR}, MRCLASS = {57M25}, MRNUMBER = {MR620010 (82h:57008)}, MRREVIEWER = {Bradd Evans Clark}, } @article{johannson:book, author = "Johannson, K.", title = "Homotopy equivalences of 3-manifolds with boundary", journal = lnm, volume = 761, year = 1976} @book{jury:z-transform, author = "Jury, Eliahu Ibrahim", title = {Theory and application of the $z$-transform method}, year = 1964, publisher = "Wiley", address = "New York" } @article {Kalliongis:seifert, AUTHOR = {Kalliongis, John and Tsau, Chichen M.}, TITLE = {Seifert fibered surgery manifolds of composite knots}, JOURNAL = {Proc. Amer. Math. Soc.}, VOLUME = {108}, YEAR = {1990}, PAGES = {1047--1053} } @article{kania, author = "Kania-Bartoszynska, J.", title = " Examples of different $3$-manifolds with the same invariants of {Witten and Reshetikhin-Turaev}", journal = top, volume = 32, year = 1993, pages = "47--54."} @article {kaplan:even, AUTHOR = {Kaplan, Steve J.}, TITLE = {Constructing framed $4$-manifolds with given almost framed boundaries}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {254}, YEAR = {1979}, PAGES = {237--263}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {57N13 (57M25 57N10)}, MRNUMBER = {82h:57015}, } @book {kato:perturbation, AUTHOR = {Kato, Tosio}, TITLE = {Perturbation theory for linear operators}, EDITION = {Second}, NOTE = {Grundlehren der Mathematischen Wissenschaften, Band 132}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1976}, PAGES = {xxi+619}, MRCLASS = {47-XX}, MRNUMBER = {MR0407617 (53 \#11389)}, } @article{kauffman-taylor:links, author = "Kauffman, L.H. and Taylor, L.R.", title ="Signature of Links", journal = tams, volume = 216, pages = "351--365", year = 1976} @book{kauffman:onknots, author = "Kauffman, L.H.", title = "On Knots", series = "Annals of Math Studies", volume = 115, publisher = "Princeton University Press", address = "Princeton, New Jersey", year = 1987} @article{kawasaki:index, author = "Kawasaki, T.", title = "The index of elliptic operators over {V-manifolds}", journal = "Nagoya \ Math \ J.", volume = 84, year = 1981, pages = "135-157"} @article {kawauchi:split, AUTHOR = {Kawauchi, Akio}, TITLE = {On links not cobordant to split links}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {19}, YEAR = {1980}, NUMBER = {4}, PAGES = {321--334}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {57Q45}, MRNUMBER = {MR584558 (82d:57011)}, MRREVIEWER = {J. P. Levine}, DOI = {10.1016/0040-9383(80)90017-8}, URL = {http://dx.doi.org/10.1016/0040-9383(80)90017-8}, } @article {kawauchi:arf, AUTHOR = {Kawauchi, Akio}, TITLE = {On the {R}obertello invariants of proper links}, JOURNAL = {Osaka J. Math.}, FJOURNAL = {Osaka Journal of Mathematics}, VOLUME = {21}, YEAR = {1984}, NUMBER = {1}, PAGES = {81--90}, ISSN = {0030-6126}, CODEN = {OJMAA7}, MRCLASS = {57M25}, MRNUMBER = {85j:57004}, MRREVIEWER = {Bradd Evans Clark}, } @article {kawauchi:splitting, AUTHOR = {Kawauchi, Akio}, TITLE = {Splitting a {$4$}-manifold with infinite cyclic fundamental group}, JOURNAL = {Osaka J. Math.}, FJOURNAL = {Osaka Journal of Mathematics}, VOLUME = {31}, YEAR = {1994}, NUMBER = {3}, PAGES = {489--495}, ISSN = {0030-6126}, CODEN = {OJMAA7}, MRCLASS = {57N13}, MRNUMBER = {96h:57018}, } @article{kawauchi:mutative, author = "Kawauchi, A.", title = "Mutative hyperbolic homology 3-spheres with the same {Floer} homology", journal = "Geom.~Dedicata", volume = 61, year = 1996, pages = "205--217"} @article{kawauchi:quantum, author = "Kawauchi, A.", title = "Topological imitation, mutation and the quantum {SU}(2) invariant", journal = "J.~Knot Theory Ramif.", volume= 3, year = 1994, pages = "25--39"} @article {kazdan-warner, AUTHOR = {Kazdan, Jerry L. and Warner, F. W.}, TITLE = {Curvature functions for compact $2$-manifolds}, JOURNAL = {Ann. of Math.}, VOLUME = {99}, YEAR = {1974}, PAGES = {14--47}, } @article{kearton:non-fibering, author = "Kearton, C.", title = "A 4-dimensional counterexample to {Farrell's} fibering theorem", journal = blms, year = 1985} @article{kervaire-milnor, author = "Kervaire, M. and Milnor, J.", title = "On 2--spheres in 4--manifolds", journal = "Proc.\ Nat.\ Acad.\ Sci.", year = 1961, volume = 47, pages = "1651--1657"} @article{kervaire:knots, author = "Kervaire, M.", title = "Les noeuds des dimensions {sup\'{e}rieures}", journal = "Bull.\ Soc.\ Math.\ de France", volume = 93, year = 1965, pages = "225-271"} @article{kim-ruberman:surfaces, AUTHOR = {Kim, Hee Jung and Ruberman, Daniel}, title= "Topological triviality of smoothly knotted surfaces in 4-manifolds", year = 2008, journal = tams, volume = 360, pages = "5869-5881"} @article {kim-ruberman:complement, AUTHOR = {Kim, Hee Jung and Ruberman, Daniel}, TITLE = {Smooth surfaces with non-simply-connected complements}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {8}, YEAR = {2008}, NUMBER = {4}, PAGES = {2263--2287}, ISSN = {1472-2747}, MRCLASS = {57R57 (57N13)}, MRNUMBER = {MR2465741}, DOI = {10.2140/agt.2008.8.2263}, URL = {http://dx.doi.org/10.2140/agt.2008.8.2263}, } @unpublished {kim-ruberman:actions, AUTHOR = {Kim, Hee Jung and Ruberman, Daniel}, TITLE = {Double point surgery and configurations of surfaces}, note = "http://arxiv.org/abs/1001.3750", url = "http://arxiv.org/abs/1001.3750", year = 2010} @article {kim:surfaces, AUTHOR = {Kim, Hee Jung}, TITLE = {Modifying surfaces in 4-manifolds by twist spinning}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {10}, YEAR = {2006}, PAGES = {27--56 (electronic)}, ISSN = {1465-3060}, MRCLASS = {57R95}, MRNUMBER = {MR2207789}, } @article{kirby:calculus, author = "Kirby, R.C.", title = "A calculus for framed links in $S^3$", journal = invent, volume = 45, year = 1978, pages = "35--56"} @book{kirby:4-manifolds, author = "Kirby, R.C.", title = "Topology of $4$-manifolds", series = lnm, volume = 1374, publisher = "Springer-Verlag", year = 1989} @incollection{kirby:problem2, author = "Kirby, R.C.", title = "4-manifold problems", booktitle = "Four-Manifold Theory", editor = "Gordon, C. and Kirby, R.", publisher = "American Math.\ Soc", address = "Providence", year = 1984} @incollection{kirby:problems96, author = "Kirby, R.C.", title = "Problems in Low--Dimensional Topology", booktitle = "Geometric Topology", editor = "Kazez, W.", publisher = "American Math.\ Soc./International Press", address = "Providence", year = 1997} @book {kirby-siebenmann, AUTHOR = {Kirby, Robion C. and Siebenmann, Laurence C.}, TITLE = {Foundational essays on topological manifolds, smoothings, and triangulations}, NOTE = {With notes by John Milnor and Michael Atiyah, Annals of Mathematics Studies, No. 88}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, N.J.}, YEAR = {1977}, PAGES = {vii+355}, MRCLASS = {57-02 (57AXX)}, MRNUMBER = {58 \#31082}, MRREVIEWER = {Ronald J. Stern}, } @incollection {kirby-taylor:surgery, AUTHOR = {Kirby, Robion C. and Taylor, Laurence R.}, TITLE = {A survey of 4-manifolds through the eyes of surgery}, editor = "Cappell, S. and Ranicki, A. and Rosenberg, J. ", BOOKTITLE = {Surveys on surgery theory, Vol. 2}, SERIES = {Ann. of Math. Stud.}, VOLUME = {149}, PAGES = {387--421}, PUBLISHER = {Princeton Univ. Press}, ADDRESS = {Princeton, NJ}, YEAR = {2001}, MRCLASS = {57N13 (57R65)}, MRNUMBER = {2002a:57028}, } @article{kirby:cork, AUTHOR = {Kirby, Rob}, TITLE = {Akbulut's corks and {$h$}-cobordisms of smooth, simply connected {$4$}-manifolds}, JOURNAL = {Turkish J. Math.}, FJOURNAL = {Turkish Journal of Mathematics}, VOLUME = {20}, YEAR = {1996}, NUMBER = {1}, PAGES = {85--93}, ISSN = {1300-0098}, MRCLASS = {57R80 (57N13)}, MRNUMBER = {1392665 (97j:57055)}, MRREVIEWER = {Martin Scharlemann}, } @article{kirk:casson, author = "Kirk, Paul A.", title = "Mutations of homology spheres and {Casson's} invariant", journal = camb, volume = 105, year = 1989, pages = "313--318"} @incollection{kirk:lectures, author = "Kirk, Paul", title = "${\rm SU}(2)$ representation varieties of $3$-manifolds, gauge theory invariants, and surgery on knots", booktitle = "{Proceedings of GARC Workshop on Geometry and Topology '93 (Seoul, 1993)}", pages = "137--176", series = "{Lecture Notes Ser., Seoul Nat. Univ.}", volume = 18} @article{kirk-klassen:cs, author = "Kirk, P. and Klassen, E.", title = "{Chern-Simons} invariants of 3-manifolds and representation spaces of knot groups", journal = annalen, volume = 287, year = 1990, pages = "343-367"} @article{kirk-klassen:seifert, author = "Kirk, P. and Klassen, E.", title = "Representation spaces of {Seifert-fibered} homology spheres", journal = top, volume = 30, year = 1991, pages = "77-96"} @article{kirk-klassen:cup, author = "Kirk, P. and Klassen, E.", title = "Computing spectral flow via cup products", journal = jdg, volume = 40, year = 1994, pages = "505--562"} @article{kirk-klassen:memoir, author = "Kirk, P. and Klassen, E.", title = "Analytic deformations of the spectrum of a family of {Dirac} operators on an odd-dimensional manifold with boundary", journal = mams, year = 1997} @article{fine-kirk-klassen:splitting, author = "Fine, B. and Kirk, P. and Klassen, E.", title = "A local analytic splitting of the holonomy map on flat connections", journal = annalen, volume = 299, year = 1994, pages = "171--189"} @article{kirk-klassen:tori, author = "Kirk, P. and Klassen, E.", title = "{Chern-Simons} invariants of $3$-manifolds decomposed along tori and the circle bundle over the representation space of ${T}\sp 2$", journal = cmp, volume = 153, year = 1993, pages = "521--557"} @article {kirk-lesch:maslov, AUTHOR = {Kirk, Paul and Lesch, Matthias}, TITLE = {The {$\eta$}-invariant, {M}aslov index, and spectral flow for {D}irac-type operators on manifolds with boundary}, JOURNAL = {Forum Math.}, FJOURNAL = {Forum Mathematicum}, VOLUME = {16}, YEAR = {2004}, NUMBER = {4}, PAGES = {553--629}, ISSN = {0933-7741}, CODEN = {FOMAEF}, MRCLASS = {58J28 (58J30 58J32)}, MRNUMBER = {2044028 (2005b:58029)}, MRREVIEWER = {Thomas Schick}, DOI = {10.1515/form.2004.027}, URL = {http://dx.doi.org/10.1515/form.2004.027}, } @book{kirwan:quotients, author = "Kirwan, F.C.", title = "Cohomology of quotients in symplectic and algebraic geometry", series = "Mathematics Notes", volume = 31, publisher = "Princeton University Press", address = "Princeton, New Jersey", year = 1984} @article{kkr, author = "Kirk, P. and Klassen, E. and Ruberman, D.", title = "Splitting the spectral flow and the {Alexander} matrix", journal = comm, volume = 69, pages = "375--416", year = 1994} @article{kirwan:surface, author = "Kirwan, F.C.", title = "On the homology of compactifications of moduli spaces of vector bundles over a {Riemann} surface", journal = plms, year = 1986, volume = 53, pages = "237--266"} @article{klassen:reps, author = "Klassen, E.", title = "Representations of knot groups in {SU(2)}", journal = tams, volume = 326, year = 1991, pages = "795--828"} @unpublished{kleiner-lott:perelman, author = "Kleiner, Bruce and Lott, John", title = "Notes on Perelman's papers", year = "2008", note = "arXiv:math/0605667v3"} @unpublished{knotinfo, author = "Cha, Jae Choon and Livingston, Charles", title = "Knotinfo Table of Knot Invariants", year = "2006", note = "http://www.indiana.edu/{$\tilde{\ }$knotinfo/}"} @book{kobayashi, author = "Kobayashi, S.", title = "Differential Geometry of Complex Vector Bundles", year = 1987, publisher = "Iwanami Shoten, Publishers and Princeton University Press", address = "Tokyo"} @book{kobayashi-nomizu, author = "Kobayashi, S. and Nomizu, K.", title = "Foundations of Differential Geometry, volume I", year = 1963, publisher = "Interscience Publishers", address = "New York"} @article {kobayashi:heegaard, AUTHOR = {Kobayashi, Tsuyoshi}, TITLE = {Structures of the {H}aken manifolds with {H}eegaard splittings of genus two}, JOURNAL = {Osaka J. Math.}, VOLUME = {21}, YEAR = {1984}, NUMBER = {2}, PAGES = {437--455} } @article {kojima-yamasaki:invariants, AUTHOR = {Kojima, Sadayoshi and Yamasaki, Masayuki}, TITLE = {Some new invariants of links}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {54}, YEAR = {1979}, NUMBER = {3}, PAGES = {213--228}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {57M25}, MRNUMBER = {553219 (81b:57004)}, MRREVIEWER = {L. Neuwirth}, DOI = {10.1007/BF01390230}, URL = {http://dx.doi.org/10.1007/BF01390230}, } @article {komuro, AUTHOR = {Komuro, Mutsumi}, TITLE = {On {A}tiyah-{P}atodi-{S}inger $\eta $-invariant for ${S}\sp{1}$-bundles over {R}iemann surfaces}, JOURNAL = {J. Fac. Sci. Univ. Tokyo Sect. IA Math.}, FJOURNAL = {Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics}, VOLUME = {30}, YEAR = {1984}, NUMBER = {3}, PAGES = {525--548}, ISSN = {0040-8980}, CODEN = {JFTMAT}, MRCLASS = {58G05 (30F99 58G11)}, MRNUMBER = {85a:58091}, MRREVIEWER = {Harold Donnelly}, } @article{kotschick:barlow, author = "Kotschick, D.", title = "On manifolds homeomorphic to ${\bf CP^2} \# 8\overline{\bf CP}^2$", journal = invent, volume = 95, year = 1989, pages ="591--600"} @article{kotschick:so3, author = "Kotschick, D.", title = "{SO(3)}-invariants for $4$-manifolds with $b_2^+=1$", journal = plms, volume = 63, year = 1991, pages = "426--448"} @article {kotschick-morgan:so3, AUTHOR = {Kotschick, D. and Morgan, J. W.}, TITLE = {{SO(3)}-invariants for $4$-manifolds with $b\sp +\sb 2=1$. {I}{I}}, JOURNAL = {J. Differential Geom.}, VOLUME = {39}, YEAR = {1994}, PAGES = {433--456} } @article {MR1617905, AUTHOR = {Kotschick, D.}, TITLE = {Signatures, monopoles and mapping class groups}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {5}, YEAR = {1998}, NUMBER = {1-2}, PAGES = {227--234}, ISSN = {1073-2780}, } @article {MR1489351, AUTHOR = {Kotschick, D.}, TITLE = {Einstein metrics and smooth structures}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {2}, YEAR = {1998}, PAGES = {1--10 (electronic)}, ISSN = {1364-0380}, } @article {MR98h:57057, AUTHOR = {Kotschick, Dieter}, TITLE = {The {S}eiberg-{W}itten invariants of symplectic four-manifolds (after {C}. {H}. {T}aubes)}, NOTE = {S\'eminaire Bourbaki, Vol.\ 1995/96}, JOURNAL = {Ast\'erisque}, FJOURNAL = {Ast\'erisque}, NUMBER = {241}, YEAR = {1997}, PAGES = {Exp.\ No.\ 812, 4, 195--220}, ISSN = {0303-1179}, } @article {MR97k:32047, AUTHOR = {Kotschick, D.}, TITLE = {Orientations and geometrisations of compact complex surfaces}, JOURNAL = {Bull. London Math. Soc.}, FJOURNAL = {The Bulletin of the London Mathematical Society}, VOLUME = {29}, YEAR = {1997}, NUMBER = {2}, PAGES = {145--149}, ISSN = {0024-6093}, CODEN = {LMSBBT}, } @article {MR97h:14049, AUTHOR = {Kotschick, D.}, TITLE = {Non-trivial harmonic spinors on generic algebraic surfaces}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {124}, YEAR = {1996}, NUMBER = {8}, PAGES = {2315--2318}, ISSN = {0002-9939}, CODEN = {PAMYAR}, } @book {MR97d:32037, AUTHOR = {Amor{\'o}s, J. and Burger, M. and Corlette, K. and Kotschick, D. and Toledo, D.}, TITLE = {Fundamental groups of compact {K}\"ahler manifolds}, SERIES = {Mathematical Surveys and Monographs}, VOLUME = {44}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {1996}, PAGES = {xii+140}, ISBN = {0-8218-0498-7}, } @article {MR96i:57024, AUTHOR = {Kotschick, D. and Morgan, J. W. and Taubes, C. H.}, TITLE = {Four-manifolds without symplectic structures but with nontrivial {S}eiberg-{W}itten invariants}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {2}, YEAR = {1995}, NUMBER = {2}, PAGES = {119--124}, ISSN = {1073-2780}, } @article {MR96h:57028, AUTHOR = {Kotschick, D. and Lisca, P.}, TITLE = {Instanton invariants of $\bf {C}{\rm {P}}^2$ via topology}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {303}, YEAR = {1995}, NUMBER = {2}, PAGES = {345--371}, ISSN = {0025-5831}, CODEN = {MAANA}, } @article {MR96b:14049, AUTHOR = {Kotschick, Dieter}, TITLE = {On the blowups of numerical {G}odeaux surfaces}, JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.}, FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique}, VOLUME = {320}, YEAR = {1995}, NUMBER = {5}, PAGES = {577--580}, ISSN = {0764-4442}, CODEN = {CASMEI}, } @incollection {MR95m:57003, AUTHOR = {Kotschick, D.}, TITLE = {Four-manifold invariants of finitely presentable groups}, BOOKTITLE = {Topology, geometry and field theory}, PAGES = {89--99}, PUBLISHER = {World Sci. Publishing}, ADDRESS = {River Edge, NJ}, YEAR = {1994}, } @article {MR95j:57038, AUTHOR = {Kotschick, D.}, TITLE = {Gauge theory is dead!---{L}ong live gauge theory!}, JOURNAL = {Notices Amer. Math. Soc.}, FJOURNAL = {Notices of the American Mathematical Society}, VOLUME = {42}, YEAR = {1995}, NUMBER = {3}, PAGES = {335--338}, ISSN = {0002-9920}, CODEN = {AMNOAN}, } @article {MR95j:57030, AUTHOR = {Kotschick, D. and Mati{\'c}, G.}, TITLE = {Embedded surfaces in four-manifolds, branched covers, and ${\rm {S}{O}}(3)$-invariants}, JOURNAL = {Math. Proc. Cambridge Philos. Soc.}, FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical Society}, VOLUME = {117}, YEAR = {1995}, NUMBER = {2}, PAGES = {275--286}, ISSN = {0305-0041}, CODEN = {MPCPCO}, } @book {MR95g:57003, TITLE = {Topology, geometry and field theory}, EDITOR = {Fukaya, K. and Furuta, M. and Kohno, T. and Kotschick, D.}, PUBLISHER = {World Scientific Publishing Co. Inc.}, ADDRESS = {River Edge, NJ}, YEAR = {1994}, PAGES = {viii+255}, ISBN = {981-02-1817-6}, } @incollection {MR95f:14079, AUTHOR = {Kotschick, Dieter}, TITLE = {Stable and unstable bundles on algebraic surfaces}, BOOKTITLE = {Problems in the theory of surfaces and their classification (Cortona, 1988)}, PAGES = {151--166}, SERIES = {Sympos. Math., XXXII}, PUBLISHER = {Academic Press}, ADDRESS = {London}, YEAR = {1991}, } @article {MR94m:14053, AUTHOR = {Kotschick, D.}, TITLE = {On the pluricanonical maps of {G}odeaux and {C}ampedelli surfaces}, JOURNAL = {Internat. J. Math.}, FJOURNAL = {International Journal of Mathematics}, VOLUME = {5}, YEAR = {1994}, NUMBER = {1}, PAGES = {53--60}, ISSN = {0129-167X}, } @article {MR94j:57027, AUTHOR = {A'Campo, N. and Kotschick, D.}, TITLE = {Contact structures, foliations, and the fundamental group}, JOURNAL = {Bull. London Math. Soc.}, FJOURNAL = {The Bulletin of the London Mathematical Society}, VOLUME = {26}, YEAR = {1994}, NUMBER = {1}, PAGES = {102--106}, ISSN = {0024-6093}, CODEN = {LMSBBT}, } @article {MR94i:57043, AUTHOR = {Johnson, F. E. A. and Kotschick, D.}, TITLE = {On the signature and {E}uler characteristic of certain four-manifolds}, JOURNAL = {Math. Proc. Cambridge Philos. Soc.}, FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical Society}, VOLUME = {114}, YEAR = {1993}, NUMBER = {3}, PAGES = {431--437}, ISSN = {0305-0041}, CODEN = {MPCPCO}, } @article {MR94h:57039, AUTHOR = {Kotschick, D.}, TITLE = {On connected sum decompositions of algebraic surfaces and their fundamental groups}, JOURNAL = {Internat. Math. Res. Notices}, FJOURNAL = {International Mathematics Research Notices}, VOLUME = {1993}, NUMBER = {6}, PAGES = {179--182}, ISSN = {1073-7928}, } @incollection {MR94d:58138, AUTHOR = {Kotschick, D.}, TITLE = {Nontrivial harmonic spinors on certain algebraic surfaces}, BOOKTITLE = {Einstein metrics and Yang-Mills connections (Sanda, 1990)}, PAGES = {85--88}, SERIES = {Lecture Notes in Pure and Appl. Math.}, VOLUME = {145}, PUBLISHER = {Dekker}, ADDRESS = {New York}, YEAR = {1993}, } @article {MR93j:58021, AUTHOR = {King, A. D. and Kotschick, D.}, TITLE = {The deformation theory of anti-self-dual conformal structures}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {294}, YEAR = {1992}, NUMBER = {4}, PAGES = {591--609}, ISSN = {0025-5831}, CODEN = {MAANA3}, } @article {MR93g:32038, AUTHOR = {Kotschick, Dieter}, TITLE = {Remarks on geometric structures on compact complex surfaces}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {31}, YEAR = {1992}, NUMBER = {2}, PAGES = {317--321}, ISSN = {0040-9383}, CODEN = {TPLGAF}, } @incollection {MR93g:14045, AUTHOR = {Kotschick, Dieter}, TITLE = {The topology of algebraic surfaces with irregularity and geometric genus zero}, BOOKTITLE = {Geometry of low-dimensional manifolds, 1 (Durham, 1989)}, PAGES = {55--62}, SERIES = {London Math. Soc. Lecture Note Ser.}, VOLUME = {150}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {1990}, } @article {MR93f:57027, AUTHOR = {Kotschick, D.}, TITLE = {All fundamental groups are almost contact}, JOURNAL = {Bull. London Math. Soc.}, FJOURNAL = {The Bulletin of the London Mathematical Society}, VOLUME = {24}, YEAR = {1992}, NUMBER = {5}, PAGES = {493--494}, ISSN = {0024-6093}, CODEN = {LMSBBT}, } @article {MR93f:57026, AUTHOR = {Kotschick, D.}, TITLE = {All fundamental groups are almost complex}, JOURNAL = {Bull. London Math. Soc.}, FJOURNAL = {The Bulletin of the London Mathematical Society}, VOLUME = {24}, YEAR = {1992}, NUMBER = {4}, PAGES = {377--378}, ISSN = {0024-6093}, CODEN = {LMSBBT}, } @article {MR93f:14019, AUTHOR = {Kotschick, D.}, TITLE = {Orientation-reversing homeomorphisms in surface geography}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {292}, YEAR = {1992}, NUMBER = {2}, PAGES = {375--381}, ISSN = {0025-5831}, CODEN = {MAANA3}, } @incollection {MR93e:57054, AUTHOR = {Floer, Andreas}, TITLE = {Instanton homology}, NOTE = {Notes by Dieter Kotschick}, BOOKTITLE = {Geometry of low-dimensional manifolds, 1 (Durham, 1989)}, PAGES = {115--124}, SERIES = {London Math. Soc. Lecture Note Ser.}, VOLUME = {150}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {1990}, } @article {MR93d:14059, AUTHOR = {Kotschick, Dieter}, TITLE = {Moduli of vector bundles with odd $c\sb 1$ on surfaces with $q=p\sb g=0$}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {114}, YEAR = {1992}, NUMBER = {2}, PAGES = {297--313}, ISSN = {0002-9327}, CODEN = {AJMAAN}, } @incollection{kra:lifting, author = "Kra, I.", title = "On lifting Kleinian groups to $Sl_2({\bf C})$", booktitle = "Differential Geometry and Complex Analysis", editor = "Chavel, I. and Farkas, H.", publisher = "Springer-Verlag", address = "Berlin", pages = "181-194", year = 1985} @article {krebes-silver-williams:persistent, AUTHOR = {Krebes, David A. and Silver, Daniel S. and Williams, Susan G.}, TITLE = {Persistent invariants of tangles}, JOURNAL = {J. Knot Theory Ramifications}, FJOURNAL = {Journal of Knot Theory and its Ramifications}, VOLUME = {9}, YEAR = {2000}, NUMBER = {4}, PAGES = {471--477}, ISSN = {0218-2165}, MRCLASS = {57M27}, MRNUMBER = {2001g:57023}, MRREVIEWER = {Joanna Kania-Bartoszynska}, } @article {krebes:embtangle, AUTHOR = {Krebes, David A.}, TITLE = {An obstruction to embedding $4$-tangles in links}, JOURNAL = {J. Knot Theory Ramifications}, FJOURNAL = {Journal of Knot Theory and its Ramifications}, VOLUME = {8}, YEAR = {1999}, NUMBER = {3}, PAGES = {321--352}, ISSN = {0218-2165}, MRCLASS = {57M25}, MRNUMBER = {2000h:57012}, MRREVIEWER = {Mark E. Kidwell}, } @book {kreck:bordism, AUTHOR = {Kreck, Matthias}, TITLE = {Bordism of diffeomorphisms and related topics}, NOTE = {With an appendix by Neal W. Stoltzfus}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1984}, PAGES = {iii+144}, ISBN = {3-540-13362-3}, MRCLASS = {57R50 (11E81 18F25 19G24 57R65)}, MRNUMBER = {86b:57015}, MRREVIEWER = {W. D. Neumann}, } @incollection {kreck:isotopy, AUTHOR = {Kreck, M.}, TITLE = {Isotopy classes of diffeomorphisms of $(k-1)$-connected almost-parallelizable $2k$-manifolds}, BOOKTITLE = {Algebraic topology, Aarhus 1978 (Proc. Sympos., Univ. Aarhus, Aarhus, 1978)}, PAGES = {643--663}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1979}, MRCLASS = {57R50}, MRNUMBER = {81i:57029}, MRREVIEWER = {E. C. Turner}, } @incollection {kreck:surfaces, AUTHOR = {Kreck, Matthias}, TITLE = {On the homeomorphism classification of smooth knotted surfaces in the {$4$}-sphere}, BOOKTITLE = {Geometry of low-dimensional manifolds, 1 (Durham, 1989)}, SERIES = {London Math. Soc. Lecture Note Ser.}, VOLUME = {150}, PAGES = {63--72}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {1990}, MRCLASS = {57N13 (19J25 57Q45 57R40 57R67)}, MRNUMBER = {MR1171891 (93k:57042)}, MRREVIEWER = {A. Marin}, } @article {kreck:surgery, AUTHOR = {Kreck, Matthias}, TITLE = {Surgery and duality}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {149}, YEAR = {1999}, NUMBER = {3}, PAGES = {707--754}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {57R67 (57R65)}, MRNUMBER = {MR1709301 (2001a:57051)}, MRREVIEWER = {Laurence R. Taylor}, } @misc{kronheimer:lecture98, author = "Peter B. Kronheimer", note = "Harvard Lecture", year = 1998} @article{kronheimer-mrowka:I, author = "P.B. Kronheimer and T.S. Mrowka", title = "Gauge Theory for embedded surfaces {I}", journal = top, volume = 32, pages = "773-826", year = 1993} @article{kronheimer-mrowka:II, author = "P.B. Kronheimer and T.S. Mrowka", title = "Gauge Theory for embedded surfaces {II}", journal = top, volume = 34, pages = "37--97", year = 1995} @article{kronheimer-mrowka:relations, author = "P.B. Kronheimer and T.S. Mrowka", title = "Embedded surfaces and the structure of {Donaldson's} polynomial invariants", journal = jdg, volume = 41, year = 1995, pages = "573--734"} @article{kronheimer-mrowka:thom, author = "P.B. Kronheimer and T.S. Mrowka", title = "The genus of embedded surfaces in the projective plane", journal = "Math.\ Res.\ Lett.", volume = 1, number = 6, pages = "797--808", year = 1994} @article{kronheimer-mrowka:P, AUTHOR = {Kronheimer, P. B. and Mrowka, T. S.}, TITLE = {Witten's conjecture and property {P}}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {8}, YEAR = {2004}, PAGES = {295--310 (electronic)}, ISSN = {1465-3060}, MRCLASS = {57M27 (57M25 57R17 57R57 57R58)}, MRNUMBER = {MR2023280 (2004m:57023)}, MRREVIEWER = {Jacob Andrew Rasmussen}, } @book{kronheimer-mrowka:monopole, AUTHOR = {Kronheimer, P. B. and Mrowka, T. S.}, TITLE = {{Monopoles and Three-Manifolds}}, publisher = "Cambridge University Press", address = "Cambridge, UK", year = 2008} @unpublished{kronheimer-mrowka:instanton-knot, AUTHOR = {Kronheimer, P. B. and Mrowka, T. S.}, TITLE = {Knot homology groups from instantons}, note = "http://arxiv.org/abs/0806.1053", url ="http://arxiv.org/abs/0806.1053", year = 2008} @article {kronheimer:torelli, AUTHOR = {Kronheimer, P. B.}, TITLE = {A {T}orelli-type theorem for gravitational instantons}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {29}, YEAR = {1989}, NUMBER = {3}, PAGES = {685--697}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {53C25 (14B07 32L10 32M10 53C55 83C20)}, MRNUMBER = {992335 (90d:53056)}, MRREVIEWER = {Krzysztof Galicki}, URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1214443067}, } @article{kronheimer:flat, author = "P.B. Kronheimer", title = "Instanton invariants and flat connections on the {Kummer} surface", journal = duke, volume = "64", pages = "229--241", year = 1991} @article{kronheimer:genus, author = "P.B. Kronheimer", title = "On the genus-minimizing property of algebraic curves", journal = bams, volume = 29, pages = "63--69", year = 1993} @unpublished{kronheimer:family, author = "P.B. Kronheimer", title = "Some non-trivial families of symplectic structures", note = "Preprint, available from {http://www.math.harvard.edu/{$\tilde{\ }$}kronheim/diffsymp.pdf}", year = 1997} @incollection {MR1772323, AUTHOR = {Kronheimer, P. B.}, TITLE = {Developments in symplectic topology}, BOOKTITLE = {Current developments in mathematics, 1998 (Cambridge, MA)}, PAGES = {83--104}, PUBLISHER = {Int. Press, Somerville, MA}, YEAR = {1999}, MRCLASS = {53Dxx (57Rxx)}, MRNUMBER = {1 772 323}, } @unpublished{kronheimer:higher-rank, AUTHOR = {Kronheimer, P. B.}, TITLE = {Four--manifolds invariants from higher--rank bundles}, YEAR = 2004, NOTE = "{\tt http://} {\tt www.math.harvard.edu/$\sim$kronheim/higherrank.pdf}" } @article {MR2000c:57071, AUTHOR = {Kronheimer, P. B.}, TITLE = {Minimal genus in ${S}\sp 1\times {M}\sp 3$}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {135}, YEAR = {1999}, NUMBER = {1}, PAGES = {45--61}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {57R95 (57M25 57N10 57R17 57R30 57R57)}, MRNUMBER = {2000c:57071}, MRREVIEWER = {Liviu I. Nicolaescu}, } @incollection {MR2000a:57086, AUTHOR = {Kronheimer, P. B.}, TITLE = {Embedded surfaces and gauge theory in three and four dimensions}, BOOKTITLE = {Surveys in differential geometry, Vol. III (Cambridge, MA, 1996)}, PAGES = {243--298}, PUBLISHER = {Int. Press, Boston, MA}, YEAR = {1998}, MRCLASS = {57R57 (53C27 57R58 57R95)}, MRNUMBER = {2000a:57086}, MRREVIEWER = {Paolo Lisca}, } @article {MR98m:57039, AUTHOR = {Kronheimer, P. B. and Mrowka, T. S.}, TITLE = {Scalar curvature and the {T}hurston norm}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {4}, YEAR = {1997}, NUMBER = {6}, PAGES = {931--937}, ISSN = {1073-2780}, MRCLASS = {57R57 (53C07 57N10)}, MRNUMBER = {98m:57039}, MRREVIEWER = {Paolo Lisca}, } @article {MR98h:57058, AUTHOR = {Kronheimer, P. B. and Mrowka, T. S.}, TITLE = {Monopoles and contact structures}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {130}, YEAR = {1997}, NUMBER = {2}, PAGES = {209--255}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {57R57 (53C15 57R15 58D27 58G10)}, MRNUMBER = {98h:57058}, MRREVIEWER = {Paolo Lisca}, } @article {krushkal:relative-slice, AUTHOR = {Krushkal, Vyacheslav S.}, TITLE = {On the relative slice problem and four-dimensional topological surgery}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {315}, YEAR = {1999}, NUMBER = {3}, PAGES = {363--396}, ISSN = {0025-5831}, CODEN = {MAANA}, MRCLASS = {57N13 (57M25)}, MRNUMBER = {MR1725988 (2000i:57036)}, MRREVIEWER = {Marko Kranjc}, } @article {krushkal-quinn:subexponential, AUTHOR = {Krushkal, Vyacheslav S. and Quinn, Frank}, TITLE = {Subexponential groups in 4-manifold topology}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {4}, YEAR = {2000}, PAGES = {407--430 (electronic)}, ISSN = {1465-3060}, MRCLASS = {57N13}, MRNUMBER = {MR1796498 (2001i:57031)}, MRREVIEWER = {Darryl McCullough}, } @article{kuga, author = "Kuga, K.", title = "Representing homology classes of {$S^2 \times S^2$}", journal = top, volume = 23, pages = "133--137", year = 1984} @article {kwasik:isotopy, AUTHOR = {Kwasik, S.}, TITLE = {Low-dimensional concordances, {W}hitney towers and isotopies}, JOURNAL = camb, VOLUME = {102}, YEAR = {1987}, PAGES = {103--119} } @article{kwasik-schultz:desuspension, author = "Kwasik, S. and Schultz, R.", title = "Desuspension of group actions and the ribbon theorem", journal = top, volume = 27, year = 1988, pages = "443--457"} @article {laitinen:ends, AUTHOR = {Laitinen, Erkki}, TITLE = {End homology and duality}, JOURNAL = {Forum Math.}, FJOURNAL = {Forum Mathematicum}, VOLUME = {8}, YEAR = {1996}, NUMBER = {1}, PAGES = {121--133}, ISSN = {0933-7741}, CODEN = {FOMAEF}, MRCLASS = {55N35 (55M05)}, MRNUMBER = {97b:55006}, MRREVIEWER = {Donald W. Kahn}, } @article{lashof-shaneson:smoothing, AUTHOR = {Lashof, R. and Shaneson, J.}, TITLE = {Smoothing 4-manifolds}, JOURNAL = invent, volume =14, year = "1971", pages = {197--210} } @article {lawson:inertial, AUTHOR = {Lawson, Terry C.}, TITLE = {Inertial {$h$}-cobordisms with finite cyclic fundamental group}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {44}, YEAR = {1974}, PAGES = {492--496}, ISSN = {0002-9939}, MRCLASS = {57D80 (57C10)}, MRNUMBER = {MR0358820 (50 \#11279)}, MRREVIEWER = {K. W. Kwun}, } @article{lawson:compact, AUTHOR = {Lawson, Terry}, TITLE = {Compactness results for orbifold instantons}, JOURNAL = {Math. Z.}, VOLUME = {200}, YEAR = {1988}, PAGES = {123--140} } @article {lawson:minimal, AUTHOR = {Lawson, Terry}, TITLE = {The minimal genus problem}, JOURNAL = {Exposition. Math.}, FJOURNAL = {Expositiones Mathematicae. International Journal}, VOLUME = {15}, YEAR = {1997}, NUMBER = {5}, PAGES = {385--431}, ISSN = {0723-0869}, MRCLASS = {57R95 (57N13)}, MRNUMBER = {MR1486407 (98g:57055)}, } @article {lawson:s2, AUTHOR = {Lawson, Terry}, TITLE = {Smooth embeddings of {$2$}-spheres in {$4$}-manifolds}, JOURNAL = {Exposition. Math.}, FJOURNAL = {Expositiones Mathematicae. International Journal for Pure and Applied Mathematics}, VOLUME = {10}, YEAR = {1992}, NUMBER = {4}, PAGES = {289--309}, ISSN = {0723-0869}, MRCLASS = {57R95 (57R40)}, MRNUMBER = {MR1184697 (93m:57041)}, MRREVIEWER = {Laurence R. Taylor}, } @article {lawson:almost-definite, AUTHOR = {Lawson, Terry}, TITLE = {Representing homology classes of almost definite {$4$}-manifolds}, JOURNAL = {Michigan Math. J.}, FJOURNAL = {The Michigan Mathematical Journal}, VOLUME = {34}, YEAR = {1987}, NUMBER = {1}, PAGES = {85--91}, ISSN = {0026-2285}, MRCLASS = {57R95 (57N13)}, MRNUMBER = {MR873022 (88d:57024)}, MRREVIEWER = {J. H. Rubinstein}, } @book{lawson:gauge, author = "Lawson, H. B.", title = "The Theory of Gauge Fields in Four Dimensions", publisher = "American Mathematical Society", address = "Providence", year = 1985} @book {lawson-michelson, AUTHOR = {Lawson, Jr., H. Blaine and Michelsohn, Marie-Louise}, TITLE = {Spin geometry}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, NJ}, YEAR = {1989}, PAGES = {xii+427}, ISBN = {0-691-08542-0}, MRCLASS = {53-02 (53A50 53C20 57R75 58G10)}, MRNUMBER = {91g:53001}, MRREVIEWER = {N. J. Hitchin}, } @article{lawson:indefinite, author = "Lawson, T.", title = "Representing homology classes of almost definite 4-manifolds", journal = mich, volume = 34, year = 1987, pages = "85-91"} @article{lawson:rp2, author = "Lawson, T.", title = "Normal bundles for an embedded {$RP^2$}", journal = jdg, volume =22, year = 1985, pages = "215--231"} @article {le-murakami-ohtsuki, AUTHOR = {Le, Thang T. Q. and Murakami, Jun and Ohtsuki, Tomotada}, TITLE = {On a universal perturbative invariant of $3$-manifolds}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {37}, YEAR = {1998}, NUMBER = {3}, PAGES = {539--574}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {57M25}, MRNUMBER = {99d:57004}, MRREVIEWER = {Zhenghan Wang}, } @article {lebrun:cover, AUTHOR = {LeBrun, Claude}, TITLE = {Scalar curvature, covering spaces, and {S}eiberg-{W}itten theory}, JOURNAL = {New York J. Math.}, FJOURNAL = {New York Journal of Mathematics}, VOLUME = {9}, YEAR = {2003}, PAGES = {93--97 (electronic)}, ISSN = {1076-9803}, MRCLASS = {53C21 (57R57 58E11)}, MRNUMBER = {MR2016183 (2005a:53062)}, MRREVIEWER = {Tedi C. Draghici}, } @unpublished {lee-lipshitz:q-gradings, TITLE = "Covering spaces and $\mathbb{Q}$ gradings on {H}eegaard {F}loer homology", AUTHOR = "Lee, Dan A. and Lipshitz, Robert", NOTE = "math.GT/0608001", YEAR = {2006} } @article {lee:semi, AUTHOR = {Lee, R.}, TITLE = {Semicharacteristic classes}, JOURNAL = top, VOLUME = {12}, YEAR = {1973}, PAGES = {183--199} } @article{lee-wilczynski:flat, author = "Lee, R. and Wilczynski, D.", title = "Locally flat 2-spheres in simply connected 4-manifolds", journal = comm, volume = 65, year= 1990, pages = "388-412"} @book {lescop:casson, AUTHOR = {Lescop, Christine}, TITLE = {Global surgery formula for the {C}asson-{W}alker invariant}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, NJ}, YEAR = {1996}, PAGES = {ii+150}, ISBN = {0-691-02132-5}, MRCLASS = {57N10 (57M25)}, MRNUMBER = {97c:57017}, MRREVIEWER = {Daniel Lines}, } @unpublished{levine:doubles, author = {Levine, Adam}, title = {Slicing mixed {Bing-Whitehead} doubles}, year = 2009, note = {http://arxiv.org/abs/0912.5222} } @article {levine:polynomials, AUTHOR = {Levine, J.}, TITLE = {Polynomial invariants of knots of codimension two}, JOURNAL = {Ann. of Math. (2)}, VOLUME = {84}, YEAR = {1966}, PAGES = {537--554}, MRCLASS = {55.20}, MRNUMBER = {34 \#808}, MRREVIEWER = {R. H. Fox}, } @article{levine:ds, author = "Levine, J.", title = "Doubly sliced knots and doubled disk knots", journal = mich, volume = 30, year = 1983, pages = "249-256"} @article{levine:invariants, author = "Levine, J.", title = "Invariants of knot cobordism", journal = invent, volume = 8, pages = "98--110", year = 1969} @article {li:spectrum, AUTHOR = {Li, Peter}, TITLE = {On the {S}obolev constant and the $p$-spectrum of a compact {R}iemannian manifold}, JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)}, FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme S\'erie}, VOLUME = {13}, YEAR = {1980}, NUMBER = {4}, PAGES = {451--468}, ISSN = {0012-9593}, CODEN = {ENAQAF}, MRCLASS = {58G25 (35P15)}, MRNUMBER = {82h:58054}, MRREVIEWER = {Hubert Gollek}, } @article{li-liu:family, AUTHOR = {Li, Tian-Jun and Liu, Ai-Ko}, TITLE = {Family {S}eiberg-{W}itten invariants and wall crossing formulas}, JOURNAL = {Comm. Anal. Geom.}, FJOURNAL = {Communications in Analysis and Geometry}, VOLUME = {9}, YEAR = {2001}, NUMBER = {4}, PAGES = {777--823}, ISSN = {1019-8385}, MRCLASS = {57R57}, MRNUMBER = {1868921 (2002k:57074)}, MRREVIEWER = {Naichung Conan Leung}, } @incollection {li:symplectic-surfaces, AUTHOR = {Li, Tian-Jun}, TITLE = {Existence of symplectic surfaces}, BOOKTITLE = {Geometry and topology of manifolds}, SERIES = {Fields Inst. Commun.}, VOLUME = {47}, PAGES = {203--217}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {2005}, MRCLASS = {57R57 (53D35 57R17)}, MRNUMBER = {MR2189933 (2007c:57042)}, MRREVIEWER = {Jongil Park}, } @article {lichnerowicz:spinors, AUTHOR = {Lichnerowicz, Andr{\'e}}, TITLE = {Spineurs harmoniques}, JOURNAL = {C. R. Acad. Sci. Paris}, VOLUME = {257}, YEAR = {1963}, PAGES = {7--9}, MRCLASS = {53.45 (57.32)}, MRNUMBER = {27 \#6218}, MRREVIEWER = {R. Hermann}, } @article {lickorish:primetangle, AUTHOR = {Lickorish, W. B. Raymond}, TITLE = {Prime knots and tangles}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {267}, YEAR = {1981}, NUMBER = {1}, PAGES = {321--332}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {57M25 (57M12)}, MRNUMBER = {83d:57004}, MRREVIEWER = {Bradd Evans Clark}, } @article{lickorish:same_su2, author = "Lickorish, W. B. R.", title = "Distinct $3$-manifolds with all {${\rm SU}(2)_q$} invariants the same", journal = pams, volume = 117, year = 1993, pages = "285--292"} @article{lickorish-millett, author = "Lickorish, W.B.R. and Millett, K.", title = "A polynomial invariant of knots and links", journal = top, year = 1986} @book {lickorish:knot-theory, AUTHOR = {Lickorish, W. B. Raymond}, TITLE = {An introduction to knot theory}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {175}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1997}, PAGES = {x+201}, ISBN = {0-387-98254-X}, MRCLASS = {57M25 (57N10)}, MRNUMBER = {1472978 (98f:57015)}, MRREVIEWER = {Darryl McCullough}, } @article {lim:sw3, AUTHOR = {Lim, Yuhan}, TITLE = {Seiberg-{W}itten invariants for $3$-manifolds in the case $b\sb 1=0$ or $1$}, JOURNAL = {Pacific J. Math.}, FJOURNAL = {Pacific Journal of Mathematics}, VOLUME = {195}, YEAR = {2000}, NUMBER = {1}, PAGES = {179--204}, ISSN = {0030-8730}, CODEN = {PJMAAI}, MRCLASS = {57-XX (53C27 58Dxx)}, MRNUMBER = {1 781 619}, } @article {lim:swcasson, AUTHOR = {Lim, Yuhan}, TITLE = {The equivalence of {S}eiberg-{W}itten and {C}asson invariants for homology $3$-spheres}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {6}, YEAR = {1999}, NUMBER = {5-6}, PAGES = {631--643}, ISSN = {1073-2780}, MRCLASS = {57M50 (57M27 57R57 58J28)}, MRNUMBER = {2001a:57027}, MRREVIEWER = {Ximin Liu}, } @article{lisca:tori, author = "Lisca, P.", title = "On tori embedded in four-manifolds", journal = jdg, year = 1993, volume = 38, pages = "13-38"} @article{lisca:zero, author = "Lisca, P.", title = "A vanishing theorem for {Donaldson} invariants", journal = pams, year = 1995, volume = "123", pages = "607--613"} @article {lisca:ow, TITLE = "Lens spaces, rational balls and the ribbon conjecture", AUTHOR = "Lisca, Paolo", JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {11}, YEAR = {2007}, PAGES = {429-472 (electronic)} } @article {lisca:lens-sums, AUTHOR = {Lisca, Paolo}, TITLE = {Sums of lens spaces bounding rational balls}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {7}, YEAR = {2007}, PAGES = {2141--2164}, MRCLASS = {57M25 (57N10)}, MRNUMBER = {MR2366190}, } @unpublished{lipshitz-ozsvath-thurston:bordered-hf, author ={Lipshitz, Robert and Ozsv{\'a}th, Peter and Thurston, Dylan}, title = "{Bordered Heegaard Floer homology: Invariance and pairing}", note ="http://arxiv.org/abs/0810.0687", year = "2008", url = "http://arxiv.org/abs/0810.0687" } @article {lipshitz:cylindrical, AUTHOR = {Lipshitz, Robert}, TITLE = {A cylindrical reformulation of {H}eegaard {F}loer homology}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {10}, YEAR = {2006}, PAGES = {955--1097 (electronic)}, ISSN = {1465-3060}, MRCLASS = {57R58 (57M27)}, MRNUMBER = {MR2240908 (2007h:57040)}, MRREVIEWER = {Stanislav Jabuka}, } @misc{lipshitz:thesis, author = {Lipshitz, Robert}, TITLE = {A {H}eegaard {F}loer invariant of bordered 3-manifolds}, note = {{Ph.D.} thesis, {S}tanford {U}niversity. http://www.math.columbia.edu/{$\tilde{\ }$lipshitz/thesis.pdf}}, year = 2006 } @unpublished{lisca:sums, TITLE = "Sums of lens spaces bounding rational balls", AUTHOR = "Lisca, Paolo", note = "arXiv:0705.1950v1 [math.GT]"} @article {litherland:deform, AUTHOR = {Litherland, R. A.}, TITLE = {Deforming twist-spun knots}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {250}, YEAR = {1979}, PAGES = {311--331}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {57Q45}, MRNUMBER = {MR530058 (80i:57015)}, MRREVIEWER = {Kenneth A. Perko, Jr.}, } @unpublished{litherland:formula, author = "Litherland, R.", title = "A formula for the {Casson--Gordon} invariant", note = "Preprint", year = 1984} @incollection{litherland:satellite, author = "Litherland, R.", title = "Cobordism of satellite knots", booktitle = "Four-Manifold Theory", editor = "Gordon, C. and Kirby, R.", publisher = "American Math.\ Soc", address = "Providence", pages = "327--334", year = 1984} @article{livingston:homology-cobordism, author = "Livingston,C.", title = "Homology cobordisms of 3-manifolds", journal = pac, volume = 94, year = 1981, pages = "193--206"} @article {livingston:multiple, AUTHOR = {Livingston, Charles}, TITLE = {More {$3$}-manifolds with multiple knot-surgery and branched-cover descriptions}, JOURNAL = {Math. Proc. Cambridge Philos. Soc.}, FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical Society}, VOLUME = {91}, YEAR = {1982}, NUMBER = {3}, PAGES = {473--475}, ISSN = {0305-0041}, CODEN = {MPCPCO}, MRCLASS = {57M25 (57M12 57N10)}, MRNUMBER = {MR654093 (83j:57002)}, MRREVIEWER = {G. Burde}, } @article {livingston:boundary-links, AUTHOR = {Livingston, Charles}, TITLE = {Links not concordant to boundary links}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {110}, YEAR = {1990}, NUMBER = {4}, PAGES = {1129--1131}, ISSN = {0002-9939}, CODEN = {PAMYAR}, MRCLASS = {57M25}, MRNUMBER = {MR1031670 (91c:57011)}, MRREVIEWER = {Bruce Trace}, } @article {livingston:tau, AUTHOR = {Livingston, Charles}, TITLE = {Computations of the {O}zsv\'ath-{S}zab\'o knot concordance invariant}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {8}, YEAR = {2004}, PAGES = {735--742 (electronic)}, ISSN = {1465-3060}, MRCLASS = {57M27 (57M25 57Q60)}, MRNUMBER = {MR2057779 (2005d:57019)}, MRREVIEWER = {James Roger Conant}, } @article {livingston-naik:double, AUTHOR = {Livingston, Charles and Naik, Swatee}, TITLE = {Ozsv\'ath-{S}zab\'o and {R}asmussen invariants of doubled knots}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {6}, YEAR = {2006}, PAGES = {651--657 (electronic)}, ISSN = {1472-2747}, MRCLASS = {57M27 (57M25)}, MRNUMBER = {MR2240910}, MRREVIEWER = {Stefan K. Friedl}, note = "http://www.arxiv.org/abs/math.GT/0505361" } @article {livingston-naik:torsion, AUTHOR = {Livingston, Charles and Naik, Swatee}, TITLE = {Knot concordance and torsion}, JOURNAL = {Asian J. Math.}, FJOURNAL = {The Asian Journal of Mathematics}, VOLUME = {5}, YEAR = {2001}, NUMBER = {1}, PAGES = {161--167}, ISSN = {1093-6106}, MRCLASS = {57M25 (57N70)}, MRNUMBER = {MR1868169 (2002k:57014)}, MRREVIEWER = {Uwe Kaiser}, } @article {livingston-naik:4-torsion, AUTHOR = {Livingston, Charles and Naik, Swatee}, TITLE = {Obstructing four-torsion in the classical knot concordance group}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {51}, YEAR = {1999}, NUMBER = {1}, PAGES = {1--12}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {57M25 (57N70)}, MRNUMBER = {MR1703602 (2000g:57009)}, MRREVIEWER = {William A. Bogley}, } @article {li-yau:parabolic, AUTHOR = {Li, Peter and Yau, Shing-Tung}, TITLE = {On the parabolic kernel of the {S}chr\"odinger operator}, JOURNAL = {Acta Math.}, FJOURNAL = {Acta Mathematica}, VOLUME = {156}, YEAR = {1986}, NUMBER = {3-4}, PAGES = {153--201}, ISSN = {0001-5962}, CODEN = {ACMAA8}, MRCLASS = {58G11 (35J10)}, MRNUMBER = {834612 (87f:58156)}, MRREVIEWER = {Harold Donnelly}, DOI = {10.1007/BF02399203}, URL = {http://dx.doi.org/10.1007/BF02399203}, } @article{lockhart-mcowen, author = "Lockart, R.B. and McOwen, R.C.", title = "Elliptic differential operators on non--compact manifolds", journal = "Annali d. Scuola Norm. Sup. de Pisa", vol = 12, year = 1985, pages = "409--448"} @phdthesis{long:thesis, author = "Long, D.", title = "Automorphisms of surfaces and knot cobordism", school = "University of Texas", year = 1983} @article {loya-park:gluing, AUTHOR = {Loya, Paul and Park, Jinsung}, TITLE = {On the gluing problem for {D}irac operators on manifolds with cylindrical ends}, JOURNAL = {J. Geom. Anal.}, FJOURNAL = {The Journal of Geometric Analysis}, VOLUME = {15}, YEAR = {2005}, NUMBER = {2}, PAGES = {285--319}, ISSN = {1050-6926}, MRCLASS = {58J28 (58J32 58J52)}, MRNUMBER = {2152484 (2006i:58037)}, MRREVIEWER = {Juan B. Gil}, } @article {lupascu:vortex, AUTHOR = {Lupascu, Paul}, TITLE = {The abelian vortex equations on {H}ermitian manifolds}, JOURNAL = {Math. Nachr.}, FJOURNAL = {Mathematische Nachrichten}, VOLUME = {230}, YEAR = {2001}, PAGES = {99--115}, ISSN = {0025-584X}, MRCLASS = {32L10 (32G13 53C07)}, MRNUMBER = {1854880 (2002k:32041)}, MRREVIEWER = {Steven B. Bradlow}, DOI = {10.1002/1522-2616(200110)230:1<99::AID-MANA99>3.3.CO;2-P}, URL = {http://dx.doi.org/10.1002/1522-2616(200110)230:1<99::AID-MANA99>3.3.CO;2-P}, } @article {lupascu:sw-hermitian, AUTHOR = {Lupascu, Paul}, TITLE = {The {S}eiberg-{W}itten equations on {H}ermitian surfaces}, JOURNAL = {Math. Nachr.}, FJOURNAL = {Mathematische Nachrichten}, VOLUME = {242}, YEAR = {2002}, PAGES = {132--147}, ISSN = {0025-584X}, MRCLASS = {53C07 (32J15 53C56 57R57 58D27)}, MRNUMBER = {1916854 (2003h:53031)}, MRREVIEWER = {Naichung Conan Leung}, DOI = {10.1002/1522-2616(200207)242:1<132::AID-MANA132>3.0.CO;2-A}, URL = {http://dx.doi.org/10.1002/1522-2616(200207)242:1<132::AID-MANA132>3.0.CO;2-A}, } @book {madsen-milgram:surgery, AUTHOR = {Madsen, Ib and Milgram, R. James}, TITLE = {The classifying spaces for surgery and cobordism of manifolds}, SERIES = {Annals of Mathematics Studies}, VOLUME = {92}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, N.J.}, YEAR = {1979}, PAGES = {xii+279}, ISBN = {0-691-08225-1}, MRCLASS = {57N70 (55P47 55R35 57Q60)}, MRNUMBER = {MR548575 (81b:57014)}, } @article{maier:generic, AUTHOR = {Maier, Stephan}, TITLE = {Generic metrics and connections on {S}pin- and {S}pin{$\sp c$}-manifolds}, JOURNAL = {Comm. Math. Phys.}, FJOURNAL = {Communications in Mathematical Physics}, VOLUME = {188}, YEAR = {1997}, NUMBER = {2}, PAGES = {407--437}, ISSN = {0010-3616}, CODEN = {CMPHAY}, MRCLASS = {58G03 (58D17 58G10)}, MRNUMBER = {MR1471821 (98i:58213)}, MRREVIEWER = {Liviu I. Nicolaescu}, } @article {mandelbaum:survey, AUTHOR = {Mandelbaum, Richard}, TITLE = {Four-dimensional topology: an introduction}, JOURNAL = {Bull. Amer. Math. Soc. (N.S.)}, VOLUME = {2}, YEAR = {1980}, PAGES = {1--159} } @article {mandelbaum-moishezon:algebraic, AUTHOR = {Mandelbaum, Richard and Moishezon, Boris}, TITLE = {On the topology of simply connected algebraic surfaces}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {260}, YEAR = {1980}, NUMBER = {1}, PAGES = {195--222}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {14J99 (57R99)}, MRNUMBER = {81g:14018}, MRREVIEWER = {R. C. Kirby}, } @incollection {mandelbaum:elliptic, AUTHOR = {Mandelbaum, Richard}, TITLE = {On the topology of elliptic surfaces}, BOOKTITLE = {Studies in algebraic topology}, PAGES = {143--166}, SERIES = {Adv. in Math. Suppl. Stud.}, VOLUME = {5}, PUBLISHER = {Academic Press}, ADDRESS = {New York}, YEAR = {1979}, } @article {manolescu:stable, AUTHOR = {Manolescu, Ciprian}, TITLE = {Seiberg-{W}itten-{F}loer stable homotopy type of three-manifolds with {$b\sb 1=0$}}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {7}, YEAR = {2003}, PAGES = {889--932 (electronic)}, ISSN = {1465-3060}, MRCLASS = {57R58 (57R57)}, MRNUMBER = {MR2026550}, } @article{manolescu-owens:delta, AUTHOR = {Manolescu, Ciprian and Owens, Brendan}, TITLE = {A concordance invariant from the {F}loer homology of double branched covers}, JOURNAL = {Int. Math. Res. Not. IMRN}, FJOURNAL = {International Mathematics Research Notices. IMRN}, YEAR = {2007}, NUMBER = {20}, PAGES = {Art. ID rnm077, 21}, ISSN = {1073-7928}, MRCLASS = {57M12 (57R58)}, MRNUMBER = {MR2363303}, } @unpublished{manolescu-ozsvath-sarkar:combinat, TITLE = "A Combinatorial Description of Knot {F}loer Homology", AUTHOR = "Manolescu, Ciprian and Ozsv{\'a}th, Peter and Sarkar, Sucharit", NOTE = "math.GT/0607691", YEAR = {2006} } @article {marcolli:swheegaard, AUTHOR = {Marcolli, M.}, TITLE = {Seiberg-{W}itten-{F}loer homology and {H}eegaard splittings}, JOURNAL = {Internat. J. Math.}, VOLUME = {7}, YEAR = {1996}, PAGES = {671--696}, NOTE = {More detailed version available as preprint dg-ga/9601011} } @book {marcolli:swbook, AUTHOR = {Marcolli, Matilde}, TITLE = {Seiberg-{W}itten gauge theory}, NOTE = {With an appendix by the author and Erion J. Clark}, PUBLISHER = {Hindustan Book Agency}, ADDRESS = {New Delhi}, YEAR = {1999}, PAGES = {viii+228}, ISBN = {81-85931-22-4}, MRCLASS = {57R57 (57R58 81T13 81T60)}, MRNUMBER = {2000g:57045}, MRREVIEWER = {Vicente Mu\~{n}oz}, } @unpublished{mark:hf-surfaces, author = {Thomas E. Mark}, title = {Knotted surfaces in 4-manifolds}, note = {http://arxiv.org/abs/0801.4367}, year = {2008} } @article{maruyama, author = "Maruyama,M.", title = "Elementary transformations in the theory of vector bundles", journal = lnm, volume = 961, year = 1981, pages = "241-266"} @article {masataka, AUTHOR = {Masataka, Kaneko}, TITLE = {Casson's knot invariant and gauge theory}, JOURNAL = {Topology Appl.}, FJOURNAL = {Topology and its Applications}, VOLUME = {112}, YEAR = {2001}, NUMBER = {2}, PAGES = {111--135}, ISSN = {0166-8641}, CODEN = {TIAPD9}, MRCLASS = {57R58 (57M27)}, MRNUMBER = {2002e:57046}, } @article {massey:whitney, AUTHOR = {Massey, W. S.}, TITLE = {Proof of a conjecture of {W}hitney}, JOURNAL = {Pacific J. Math.}, FJOURNAL = {Pacific Journal of Mathematics}, VOLUME = {31}, YEAR = {1969}, PAGES = {143--156}, ISSN = {0030-8730}, MRCLASS = {57.30}, MRNUMBER = {MR0250331 (40 \#3570)}, MRREVIEWER = {S. S. Cairns}, } @article{matic:rational, author = "Mati\'{c}, G.", title = "{{SO(3)}--connections and rational homology cobordisms}", journal = jdg, volume = 28, year = 1988, pages = "277--307"} @incollection {matsumoto:rohlin, AUTHOR = {Matsumoto, Yukio}, TITLE = {An elementary proof of {R}ochlin's signature theorem and its extension by {G}uillou and {M}arin}, BOOKTITLE = {\`A la recherche de la topologie perdue}, SERIES = {Progr. Math.}, VOLUME = {62}, PAGES = {119--139}, PUBLISHER = {Birkh\"auser Boston}, ADDRESS = {Boston, MA}, YEAR = {1986}, MRCLASS = {57N13}, MRNUMBER = {MR900248}, } @incollection {matumoto:triangulation, AUTHOR = {Matumoto, Takao}, TITLE = {Triangulation of manifolds}, BOOKTITLE = {Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976), Part 2}, SERIES = {Proc. Sympos. Pure Math., XXXII}, PAGES = {3--6}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, R.I.}, YEAR = {1978}, MRCLASS = {57Q15}, MRNUMBER = {80e:57019}, MRREVIEWER = {N. Martin}, } @misc{matumoto:kummer, author = "Matumoto, T.", title = "Diffeomorphisms of the {Kummer} surface", note = "Lecture, {M.S.R.I.}, 1985"} @article{matveyev:h-cobordism, AUTHOR = {Matveyev, R.}, TITLE = {A decomposition of smooth simply-connected {$h$}-cobordant {$4$}-manifolds}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {44}, YEAR = {1996}, NUMBER = {3}, PAGES = {571--582}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {57N13 (57R55 57R80)}, MRNUMBER = {1431006 (98a:57033)}, MRREVIEWER = {L. Guillou}, URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1214459222}, } @book {drkm:torsion, AUTHOR = {de Rham, G. and Maumary, S. and Kervaire, M. A.}, TITLE = {Torsion et type simple d'homotopie}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1967}, } @article{meeks-scott, author = "Meeks, W. and Scott, P.", title = "Finite group actions on 3-manifolds", journal = invent, volume = 86, year = 1986, pages = "287-346"} @article{meeks-yau, author = "Meeks, W. and Yau, S.T.", title = "The classical {Plateau} problem and the topology of three-dimensional manifolds", journal = top, volume = 21, year = 1982, pages = "409--440"} @article{mehta-seshadri, author = "Mehta, V. and Seshadri, C.", title = "Moduli of vector bundles on algebraic varieties", journal = annalen, volume = 101, year = 1980, pages = "205--239"} @article {mazzeo-melrose:surgery, AUTHOR = {Mazzeo, R. R. and Melrose, R. B.}, TITLE = {Analytic surgery and the eta invariant}, JOURNAL = {Geom. Funct. Anal.}, VOLUME = {5}, YEAR = {1995}, PAGES = {14--75} } @incollection {mazzeo-pollack:gluing, AUTHOR = {Mazzeo, Rafe and Pollack, Daniel}, TITLE = {Gluing and moduli for noncompact geometric problems}, BOOKTITLE = {Geometric theory of singular phenomena in partial differential equations (Cortona, 1995)}, SERIES = {Sympos. Math., XXXVIII}, PAGES = {17--51}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {1998}, MRCLASS = {53C21 (58D27 58J60)}, MRNUMBER = {MR1702086 (2000i:53058)}, MRREVIEWER = {David L. Finn}, } @article {mazzeo-pollack-uhlenbeck:yamabe, AUTHOR = {Mazzeo, Rafe and Pollack, Daniel and Uhlenbeck, Karen}, TITLE = {Moduli spaces of singular {Y}amabe metrics}, JOURNAL = {J. Amer. Math. Soc.}, FJOURNAL = {Journal of the American Mathematical Society}, VOLUME = {9}, YEAR = {1996}, NUMBER = {2}, PAGES = {303--344}, ISSN = {0894-0347}, MRCLASS = {53C21 (58D27 58G30)}, MRNUMBER = {MR1356375 (96f:53055)}, MRREVIEWER = {David L. Finn}, } @article {MR1142715, AUTHOR = {Mazzeo, Rafe}, TITLE = {Regularity for the singular {Y}amabe problem}, JOURNAL = {Indiana Univ. Math. J.}, FJOURNAL = {Indiana University Mathematics Journal}, VOLUME = {40}, YEAR = {1991}, NUMBER = {4}, PAGES = {1277--1299}, ISSN = {0022-2518}, CODEN = {IUMJAB}, MRCLASS = {53C21 (35B40 35J60 35J70)}, MRNUMBER = {MR1142715 (92k:53071)}, } @article {mccarthy-wolfson:blowup, AUTHOR = {McCarthy, John D. and Wolfson, Jon G.}, TITLE = {Double points and the proper transform in symplectic geometry}, JOURNAL = {Differential Geom. Appl.}, FJOURNAL = {Differential Geometry and its Applications}, VOLUME = {6}, YEAR = {1996}, NUMBER = {2}, PAGES = {101--107}, ISSN = {0926-2245}, CODEN = {DGAPEO}, MRCLASS = {57R42 (57R15 58F05)}, MRNUMBER = {MR1395023 (97e:57033)}, MRREVIEWER = {Toru Ohmoto}, DOI = {10.1016/0926-2245(96)89143-1}, URL = {http://dx.doi.org/10.1016/0926-2245(96)89143-1}, } @article {mccarthy-wolfson:symplectic-sum, AUTHOR = {McCarthy, John D. and Wolfson, Jon G.}, TITLE = {Symplectic normal connect sum}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {33}, YEAR = {1994}, NUMBER = {4}, PAGES = {729--764}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {57R57 (53C15 57R15 57R55)}, MRNUMBER = {MR1293308 (95h:57038)}, MRREVIEWER = {Shuguang Wang}, } @book {melrose:aps, AUTHOR = {Melrose, Richard B.}, TITLE = {The {A}tiyah-{P}atodi-{S}inger index theorem}, SERIES = {Research Notes in Mathematics}, VOLUME = {4}, PUBLISHER = {A K Peters Ltd.}, ADDRESS = {Wellesley, MA}, YEAR = {1993}, PAGES = {xiv+377}, ISBN = {1-56881-002-4}, MRCLASS = {58G10 (58G15 58G25)}, MRNUMBER = {1348401 (96g:58180)}, MRREVIEWER = {Rafe Mazzeo}, } @unpublished{melvin:thesis, author = "Melvin, P. M.", title = "Blowing up and down in $4$-manifolds.", year = 1977, Note = "{Ph.~D. thesis, UC Berkeley}" } @article{menasco:alternating, author = "Menasco, W.", title = "Closed incompressible surfaces in alternating knot and link complements", journal = top, volume = 23, pages = "37--44", year = 1984} @article {meng-taubes, AUTHOR = {Meng, Guowu and Taubes, Clifford Henry}, TITLE = "{$\underline{\rm{SW}}=$ {M}ilnor torsion}", JOURNAL = {Math. Res. Lett.}, VOLUME = {3}, YEAR = {1996}, PAGES = {661--674} } @article{meyerhoff-ruberman:I, author = "Meyerhoff, R. and Ruberman, D.", title = "Mutation and the $\eta$-invariant", journal = jdg, year = 1990, volume = 31, pages = "101--130"} @article{meyerhoff-ruberman:II, author = "Meyerhoff, R. and Ruberman, D.", title = "Cutting and pasting and the $\eta$-invariant", year = 1990, journal = duke, volume = 61, pages = "747--761"} @incollection{meyerhoff:density, author = "Meyerhoff, R.", title = "Density of the {Chern-Simons} invariant for hyperbolic 3-manifolds", booktitle = "Low-dimensional topology and {Kleinian} groups, London Math.\ Soc.\ Lect.\ Notes 112", editor = "Epstein, D.B.A.", publisher = "Cambridge University Press", year = 1987, pages = "217--240"} @incollection{meyerhoff:equal-volumes, author = "Meyerhoff, R.", title = "Hyperbolic 3-manifolds with equal volumes but different {Chern-Simons} invariants", booktitle = "Low-dimensional topology and {Kleinian} groups, London Math.\ Soc.\ Lect.\ Notes 112", editor = "Epstein, D.B.A.", publisher = "Cambridge University Press", year = 1987, pages = "209--215"} @article {miller:periodic, AUTHOR = {Miller, John G.}, TITLE = {The {E}uler characteristic and finiteness obstruction of manifolds with periodic ends}, JOURNAL = {Asian J. Math.}, FJOURNAL = {The Asian Journal of Mathematics}, VOLUME = {10}, YEAR = {2006}, NUMBER = {4}, PAGES = {679--713}, ISSN = {1093-6106}, MRCLASS = {58J22 (19K56 46L08 46L80)}, MRNUMBER = {2282359 (2007i:58029)}, MRREVIEWER = {Yuri A. Kordyukov}, } @article {milnor:sn, AUTHOR = {Milnor, John}, TITLE = {Groups which act on ${S}\sp n$ without fixed points}, JOURNAL = {Amer. J. Math.}, YEAR = {1957}, PAGES = {623--630} } @book{milnor-husemoller, author = "Husemoller,D. and Milnor,J.", title = "Symmetric Bilinear Forms", publisher = "Springer-Verlag", address = "Berlin and New York", year = 1973} @book{milnor:h-cobordism, author = "Milnor, J.", title = "Lectures on the h-Cobordism Theorem", series = "Mathematical Notes", volume = "1", publisher = "Princeton University Press", address = "Princeton, N.J.", year = 1965} @book{milnor-stasheff, author = "Milnor, J. and Stasheff, J.", title = "Characteristic Classes", publisher = "Princeton University Press", address = "Princeton, N.J.", year = 1974} @incollection{milnor:covering, author = "Milnor, J.", title = "Infinite cyclic coverings", booktitle = "Topology of Manifolds", editor = "Hocking, J.", publisher = "Prindle, Weber and Schmidt", address = "Boston", pages = "115--133", year = 1968} @article {milnor:link-groups, AUTHOR = {Milnor, John}, TITLE = {Link groups}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {59}, YEAR = {1954}, PAGES = {177--195}, ISSN = {0003-486X}, MRCLASS = {55.0X}, MRNUMBER = {MR0071020 (17,70e)}, MRREVIEWER = {R. H. Fox}, } @incollection{milnor:mubar, author = "Milnor, J.", title = "Isotopy of links", booktitle = "Algebraic Geometry and Topology: Symposium in Honor of S. Lefschetz", editor = "Fox, R.H.", publisher = "Princeton University Press", year = 1957} @article{miyaoka:singularities, author = "Miyaoka, Y.", title = "The maximal number of quotient singularities on surfaces with given numerical invariants", journal = annalen, pages = "159--171", volume = 268, year = 1984} @article {miyazaki:seifert, AUTHOR = {Miyazaki, Katura and Motegi, Kimihiko}, TITLE = {Seifert fibred manifolds and {D}ehn surgery}, JOURNAL = {Topology}, VOLUME = {36}, YEAR = {1997}, PAGES = {579--603} } @book {moishezon:sums, AUTHOR = {Moishezon, Boris}, TITLE = {Complex surfaces and connected sums of complex projective planes}, NOTE = {With an appendix by R. Livne, Lecture Notes in Mathematics, Vol. 603}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1977}, PAGES = {i+234}, } @incollection {moishezon:braids-chisini, AUTHOR = {Moishezon, B.}, TITLE = {The arithmetic of braids and a statement of {C}hisini}, BOOKTITLE = {Geometric topology ({H}aifa, 1992)}, SERIES = {Contemp. Math.}, VOLUME = {164}, PAGES = {151--175}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1994}, MRCLASS = {20F36 (14H99 57M25)}, MRNUMBER = {MR1282761 (95d:20069)}, MRREVIEWER = {Mina Teicher}, } @unpublished{montesinos:seifert, author = "Montesinos, J.", title = "Rev\^{e}tements ramifies de noeuds, espaces de {Seifert} et scindements de {Heegard}", note = "Orsay preprint", year = 1980} @article {montesinos:twins.I, AUTHOR = {Montesinos, Jos{\'e} Mar{\'{\i}}a}, TITLE = {On twins in the four-sphere. {II}}, JOURNAL = {Quart. J. Math. Oxford Ser. (2)}, FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series}, VOLUME = {35}, YEAR = {1984}, NUMBER = {137}, PAGES = {73--83}, ISSN = {0033-5606}, CODEN = {QJMAAT}, MRCLASS = {57Q45 (57M25)}, MRNUMBER = {MR734666 (86i:57025b)}, MRREVIEWER = {Louis H. Kauffman}, } @article {montesinos:twins.II, AUTHOR = {Montesinos, Jos{\'e} M.}, TITLE = {On twins in the four-sphere. {I}}, JOURNAL = {Quart. J. Math. Oxford Ser. (2)}, FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series}, VOLUME = {34}, YEAR = {1983}, NUMBER = {134}, PAGES = {171--199}, ISSN = {0033-5606}, CODEN = {QJMAAT}, MRCLASS = {57Q45 (57M25)}, MRNUMBER = {MR698205 (86i:57025a)}, MRREVIEWER = {Louis H. Kauffman}, } @book {moore:swbook, AUTHOR = {Moore, John Douglas}, TITLE = {Lectures on {S}eiberg-{W}itten invariants}, EDITION = {Second}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {2001}, PAGES = {viii+121}, ISBN = {3-540-41221-2}, MRCLASS = {57R57 (53C27 57R55 58J10)}, MRNUMBER = {2002a:57043}, } @article {morgan:families, AUTHOR = {Morgan, John W.}, TITLE = {Topological triviality of various analytic families}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {50}, YEAR = {1983}, NUMBER = {1}, PAGES = {215--225}, ISSN = {0012-7094}, CODEN = {DUMJAO}, MRCLASS = {32G05 (14D05 57R99)}, MRNUMBER = {84j:32024}, MRREVIEWER = {Anatoly Libgober}, } @article{MMnote, AUTHOR = {Morgan, John W. and Mrowka, Tomasz S.}, TITLE = {A note on {D}onaldson's polynomial invariants}, JOURNAL = {Internat. Math. Res. Notices}, YEAR = {1992}, PAGES = {223--230}, } @book{mmr, author = "Morgan, J. and Mrowka, T. and Ruberman, D.", title = "The ${L}^2$-moduli space and a vanishing theorem for {Donaldson} invariants", year = 1994, series = "Monographs in Geometry and Topology", volume = 2, publisher = "International Press"} @book {morgan:swbook, AUTHOR = {Morgan, John W.}, TITLE = {The {S}eiberg-{W}itten equations and applications to the topology of smooth four-manifolds}, SERIES = {Mathematical Notes}, VOLUME = {44}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, NJ}, YEAR = {1996} } @article{morgan-mrowka:elliptic, author = "Morgan, J. and Mrowka, T.", title = "On the diffeomorphism classification of regular elliptic surfaces", year = 1993, journal = "Int.\ Math.\ Res.\ Notes", number = 6, pages = "183--184"} @incollection{MMelliptic, AUTHOR = {Morgan, John W. and Mrowka, Tomasz S.}, TITLE = {The smooth classification of elliptic surfaces}, BOOKTITLE = {Geometry, topology, \& physics}, PAGES = {246--292}, SERIES = {Conf. Proc. Lecture Notes Geom. Topology, VI}, PUBLISHER = {Internat. Press}, ADDRESS = {Cambridge, MA}, YEAR = {1995}, } @article {morgan-szabo:mod2, AUTHOR = {Morgan, John W. and Szab{\'o}, Zolt{\'a}n}, TITLE = {Homotopy ${K}3$ surfaces and mod $2$ {S}eiberg-{W}itten invariants}, JOURNAL = {Math. Res. Lett.}, VOLUME = {4}, YEAR = {1997}, PAGES = {17--21} } @article {morgan-mrowka-szabo:torus, AUTHOR = {Morgan, John W. and Mrowka, Tomasz S. and Szab{\'o}, Zolt{\'a}n}, TITLE = {Product formulas along ${T}\sp 3$ for {S}eiberg-{W}itten invariants}, JOURNAL = {Math. Res. Lett.}, VOLUME = {4}, YEAR = {1997}, PAGES = {915--929} } @article {MR1470343, AUTHOR = {Morgan, John W. and Szab{\'o}, Zolt{\'a}n}, TITLE = {Embedded genus-$2$ surfaces in four-manifolds}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {89}, YEAR = {1997}, NUMBER = {3}, PAGES = {577--602}, ISSN = {0012-7094}, CODEN = {DUMJAO}, } @article{morgan-szabo-taubes, author="Morgan, J. and Szabo, Z. and Taubes, C.", title = "A Product formula for the {Seiberg--Witten} invariants and the generalized {Thom} conjecture", journal = jdg, volume = 44, pages = {706--788}, year = 1996} @book{morgan-bass:smith, TITLE = {The {S}mith conjecture}, SERIES = {Pure and Applied Mathematics}, VOLUME = {112}, EDITOR = {Morgan, John W. and Bass, Hyman}, NOTE = {Papers presented at the symposium held at Columbia University, New York, 1979}, PUBLISHER = {Academic Press Inc.}, ADDRESS = {Orlando, FL}, YEAR = {1984}, PAGES = {xv+243}, ISBN = {0-12-506980-4}, MRCLASS = {57-06 (57N10 57S17 57S25)}, MRNUMBER = {MR758459 (86i:57002)}, MRREVIEWER = {Allan Edmonds}, } @incollection{morgan:smith, author = "Morgan, J.", title = "On {Thurston's} uniformization theorem for 3-dimensional manifolds", booktitle = "The Smith Conjecture", editor = "Bass, H. and Morgan, J.", publisher = "Academic Press", pages = "37--126", year = 1984} @book {morgan-tian:poincare, AUTHOR = {Morgan, John and Tian, Gang}, TITLE = {{RIcci} flow and the {P}oincar\'e conjecture}, SERIES = {Clay Mathematics Monographs}, VOLUME = {3}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {2007}, PAGES = {xlii+521}, ISBN = {978-0-8218-4328-4}, MRCLASS = {57M40 (53C44)}, MRNUMBER = {MR2334563}, MRREVIEWER = {Terence C. Tao}, } @unpublished {morgan-tian:geometrization, AUTHOR = {Morgan, John and Tian, Gang}, TITLE = {Completion of the Proof of the Geometrization Conjecture}, note = "arXiv:0809.4040v1", year = 2008} @article{morrey:plateau, author = "Morrey, C.B.", title = "The problem of Plateau in a Riemannian manifold", journal = annals, volume = 49, pages = "807-851", year = 1948} @book{mostow, author = "Mostow, G.", title = "Strong Rigidity of Locally Symmetric Spaces", year = 1973, publisher = "Princeton Unversity Press", address = "Princeton"} @unpublished{mrowka-ruberman-saveliev:sw-index, AUTHOR = {Mrowka, Tomasz and Ruberman, Daniel and Saveliev, Nikolai}, title = {{Seiberg-Witten equations, end-periodic Dirac operators, and a lift of Rohlin's invariant}}, note = {http://arxiv.org/abs/0905.4319}, year = "2009", url ={http://arxiv.org/abs/0905.4319} } @article {moy, AUTHOR = {Mrowka, Tomasz and Ozsv{\'a}th, Peter and Yu, Baozhen}, TITLE = {Seiberg-{W}itten monopoles on {S}eifert fibered spaces}, JOURNAL = {Comm. Anal. Geom.}, FJOURNAL = {Communications in Analysis and Geometry}, VOLUME = {5}, YEAR = {1997}, NUMBER = {4}, PAGES = {685--791}, ISSN = {1019-8385}, MRCLASS = {58D27 (53C07 57R57 58E15 58G05)}, MRNUMBER = {98m:58017}, MRREVIEWER = {Liviu I. Nicolaescu}, } @phdthesis{mrowka:thesis, author = "Mrowka, T.", title = "A local {Mayer--Vietoris} principle for Yang--Mills moduli spaces", school = "U.C. Berkeley", year = 1989} @article {muller:eta, AUTHOR = {M{\"u}ller, Werner}, TITLE = {Eta invariants and manifolds with boundary}, JOURNAL = {J. Differential Geom.}, VOLUME = {40}, YEAR = {1994}, NUMBER = {2}, PAGES = {311--377} } @book {munkres:diff, AUTHOR = {Munkres, James R.}, TITLE = {Elementary differential topology}, NOTE = {Revised edition. Annals of Mathematics Studies, No. 54}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, N.J.}, YEAR = {1966} } @article {MR1802724, AUTHOR = {Mu\~{n}oz, Vicente}, TITLE = {Fukaya-{F}loer homology of $\Sigma\times {\bf {S}}\sp 1$ and applications}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {53}, YEAR = {1999}, NUMBER = {2}, PAGES = {279--326}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {57R58}, MRNUMBER = {1 802 724}, } @article {munoz:genus2, AUTHOR = {Mu\~{n}oz, Vicente}, TITLE = {Donaldson invariants for connected sums along surfaces of genus 2}, JOURNAL = {Topology Appl.}, FJOURNAL = {Topology and its Applications}, VOLUME = {107}, YEAR = {2000}, NUMBER = {3}, PAGES = {215--232}, note = "Available online, {http://xxx.lanl.gov/e-print/dg-ga/9702004} ", ISSN = {0166-8641}, CODEN = {TIAPD9}, MRCLASS = {57R57}, MRNUMBER = {1 779 811}, } @article {MR1775702, AUTHOR = {Mu\~{n}oz, Vicente}, TITLE = {Basic classes for four-manifolds not of simple type}, JOURNAL = {Comm. Anal. Geom.}, FJOURNAL = {Communications in Analysis and Geometry}, VOLUME = {8}, YEAR = {2000}, NUMBER = {3}, PAGES = {653--670}, ISSN = {1019-8385}, MRCLASS = {57Rxx}, MRNUMBER = {1 775 702}, } @article {MR2000m:14046, AUTHOR = {Mu\~{n}oz, Vicente}, TITLE = {Wall-crossing formulae for algebraic surfaces with positive irregularity}, JOURNAL = {J. London Math. Soc. (2)}, FJOURNAL = {The Journal of the London Mathematical Society. Second Series}, VOLUME = {61}, YEAR = {2000}, NUMBER = {1}, PAGES = {259--274}, ISSN = {0024-6107}, CODEN = {JLMSAK}, MRCLASS = {14J80 (14D20 57R57)}, MRNUMBER = {2000m:14046}, MRREVIEWER = {Zhenbo Qin}, } @article {MR2000f:14091, AUTHOR = {Mu\~{n}oz, Vicente}, TITLE = {Quantum cohomology of the moduli space of stable bundles over a {R}iemann surface}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {98}, YEAR = {1999}, NUMBER = {3}, PAGES = {525--540}, ISSN = {0012-7094}, CODEN = {DUMJAO}, MRCLASS = {14N35 (14D20 14H60 53D30 53D45)}, MRNUMBER = {2000f:14091}, MRREVIEWER = {Ignasi Mundet-Riera}, } @article {MR99m:57028, AUTHOR = {Mu\~{n}oz, Vicente}, TITLE = {Ring structure of the {F}loer cohomology of $\Sigma\times{\bf {S}}\sp 1$}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {38}, YEAR = {1999}, NUMBER = {3}, PAGES = {517--528}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {57R57 (55N35 55N45)}, MRNUMBER = {99m:57028}, MRREVIEWER = {Nikolai N. Saveliev}, } @article {MR99m:57027, AUTHOR = {Mu\~{n}oz, Vicente}, TITLE = {Gluing formulae for {D}onaldson invariants for connected sums along surfaces}, JOURNAL = {Asian J. Math.}, FJOURNAL = {The Asian Journal of Mathematics}, VOLUME = {1}, YEAR = {1997}, NUMBER = {4}, PAGES = {785--800}, ISSN = {1093-6106}, MRCLASS = {57R57 (57N13 57R55)}, MRNUMBER = {99m:57027}, MRREVIEWER = {Wojciech Wieczorek}, } @article {murakami:alexander, AUTHOR = {Murakami, Jun}, TITLE = {A state model for the multivariable {A}lexander polynomial}, JOURNAL = {Pacific J. Math.}, VOLUME = {157}, YEAR = {1993}, NUMBER = {1}, PAGES = {109--135} } @article{myers1, author = "Myers, R.", title = "Simple knots in compact, orientable 3-manifolds", journal = tams, volume = 273, year = 1981, pages = "75-92"} @article{myers2, author = "Myers, R.", title = "Homology cobordisms, link concordances, and hyperbolic manifolds", journal = tams, volume = 278, year = 1983, pages = "271--288"} @incollection {naik:equivariant, AUTHOR = {Naik, Swatee}, TITLE = {Equivariant concordance of knots in {$S^3$}}, BOOKTITLE = {K{NOTS} '96 ({T}okyo)}, PAGES = {81--89}, PUBLISHER = {World Sci. Publ., River Edge, NJ}, YEAR = {1997}, MRCLASS = {57M25}, MRNUMBER = {1664952 (99k:57028)}, } @article {nakamura:non-kahler, AUTHOR = {Nakamura, Iku}, TITLE = {Classification of non-{K}\"ahler complex surfaces}, NOTE = {Translated in Sugaku Expositions {{\bf{2}}} (1989), no. 2, 209--229}, JOURNAL = {S\=ugaku}, FJOURNAL = {Mathematical Society of Japan. S\=ugaku (Mathematics)}, VOLUME = {36}, YEAR = {1984}, NUMBER = {2}, PAGES = {110--124}, ISSN = {0039-470X}, CODEN = {SUGKAQ}, MRCLASS = {32J15}, MRNUMBER = {780359 (86g:32045)}, MRREVIEWER = {Takeo Ohsawa}, } @article{narasimhan-seshadri, author = "Narasimhan, M. and Seshadri, C.", title = "Stable and unitary vector bundles on a compact {Riemann} surface", journal = annals, volume = 82, year = 1965, pages = "540--564"} @article {nasatyr:eta, AUTHOR = {Nasatyr, Emile Ben}, TITLE = {Seifert-fibred homology {$3$}-spheres, {$V$}-surfaces and the {F}loer index}, JOURNAL = {Math. Proc. Cambridge Philos. Soc.}, FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical Society}, VOLUME = {111}, YEAR = {1992}, NUMBER = {3}, PAGES = {461--485}, ISSN = {0305-0041}, CODEN = {MPCPCO}, MRCLASS = {57R57 (57N10 58D29)}, MRNUMBER = {1151325 (93c:57024)}, MRREVIEWER = {Dave Auckly}, DOI = {10.1017/S0305004100075563}, URL = {http://dx.doi.org/10.1017/S0305004100075563}, } @incollection {neumann:plumbing, AUTHOR = {Neumann, Walter D.}, TITLE = {An invariant of plumbed homology spheres}, BOOKTITLE = {Topology Symposium, Siegen 1979 (Proc. Sympos., Univ. Siegen, Siegen, 1979)}, SERIES = {Lecture Notes in Math.}, VOLUME = {788}, PAGES = {125--144}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1980}, MRCLASS = {57R90 (57Q15)}, MRNUMBER = {82j:57033}, MRREVIEWER = {Louis H. Kauffman}, } @article {neumann-wahl, AUTHOR = {Neumann, Walter and Wahl, Jonathan}, TITLE = {Casson invariant of links of singularities}, JOURNAL = {Comment. Math. Helv.}, FJOURNAL = {Commentarii Mathematici Helvetici}, VOLUME = {65}, YEAR = {1990}, NUMBER = {1}, PAGES = {58--78}, ISSN = {0010-2571}, CODEN = {COMHAX}, MRCLASS = {57N12 (32S50 32S55 57M12)}, MRNUMBER = {91c:57022}, MRREVIEWER = {Ronald J. Stern}, } @article{neumann-zagier, author = "Neumann, W. and Zagier, D.", title = "Volumes of hyperbolic 3-manifolds", journal = top, volume = 24, year = 1985, pages = "307--332"} @article{neumann:atiyah, author = "Neumann, W.", title = "Homotopy invariance of {Atiyah} invariants", journal = psymp, volume = 32, year = 1978, pages = "181--188"} @article{newstead:stable, author = "Newstead, P. E.", title = "Topological Properties of some spaces of stable bundles", journal = top, volume = 6, year = 1967, pages = "241--262"} @article {ni:sutured, AUTHOR = {Ni, Yi}, TITLE = {Sutured {H}eegaard diagrams for knots}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {6}, YEAR = {2006}, PAGES = {513--537 (electronic)}, ISSN = {1472-2747}, MRCLASS = {57M25 (57M27 57N10 57R58)}, MRNUMBER = {MR2220687 (2007b:57015)}, MRREVIEWER = {Stanislav Jabuka}, } @misc{ni-wu:cosmetic, AUTHOR = {Ni, Yi and Wu, Zhongtao}, TITLE = {Cosmetic surgeries on knots in ${S}^3$}, year = 2009, note= {http://arxiv.org/abs/1009.4720}, } @article {nicolaescu:sf, AUTHOR = {Nicolaescu, Liviu I.}, TITLE = {The {M}aslov index, the spectral flow, and decompositions of manifolds}, JOURNAL = {Duke Math. J.}, VOLUME = {80}, YEAR = {1995}, PAGES = {485--533}} @article {nicolaescu:eta, AUTHOR = {Nicolaescu, Liviu I.}, TITLE = {Eta invariants of {D}irac operators on circle bundles over {R}iemann surfaces and virtual dimensions of finite energy {S}eiberg-{W}itten moduli spaces}, JOURNAL = {Israel J. Math.}, FJOURNAL = {Israel Journal of Mathematics}, VOLUME = {114}, YEAR = {1999}, PAGES = {61--123}, ISSN = {0021-2172}, CODEN = {ISJMAP}, MRCLASS = {58Jxx (53Cxx 57-XX)}, MRNUMBER = {1 738 674}, } @article {nicolaescu:adiabatic, AUTHOR = {Nicolaescu, Liviu I.}, TITLE = {Adiabatic limits of the {S}eiberg-{W}itten equations on {S}eifert manifolds}, JOURNAL = {Comm. Anal. Geom.}, FJOURNAL = {Communications in Analysis and Geometry}, VOLUME = {6}, YEAR = {1998}, NUMBER = {2}, PAGES = {331--392}, ISSN = {1019-8385}, MRCLASS = {57R57 (53C27 53D15 57R58 58J10)}, MRNUMBER = {2000e:57053}, MRREVIEWER = {Matilde Marcolli}, } @book {nicolaescu:swbook, AUTHOR = {Nicolaescu, Liviu I.}, TITLE = {Notes on {S}eiberg-{W}itten theory}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {2000}, PAGES = {xviii+484}, ISBN = {0-8218-2145-8}, MRCLASS = {57R57 (14J80 53C27 57R19 58J05)}, MRNUMBER = {2001k:57037}, MRREVIEWER = {Vicente Mu\~{n}oz}, } @article{nikulin:kummer, author = "Nikulin, V.V.", title = "On {Kummer} surfaces", journal = "{Math.\ U.S.S.R. Izvestia}", volume = 9, year = 1975, pages = "261--275"} @article{nitsure, author = "Nitsure, N.", title = "Cohomology of the moduli of parabolic bundles", journal = procind, volume = 95, pages = "61--77", year = 1986} @article{nori:zariski, AUTHOR = {Nori, Madhav V.}, TITLE = {Zariski's conjecture and related problems}, JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)}, FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme S\'erie}, VOLUME = {16}, YEAR = {1983}, NUMBER = {2}, PAGES = {305--344}, ISSN = {0012-9593}, CODEN = {ASENAH}, MRCLASS = {14H30 (14H20)}, MRNUMBER = {MR732347 (86d:14027)}, MRREVIEWER = {Johan Hansen}, } @article {novikov, AUTHOR = {Novikov, S. P.}, TITLE = {Topological invariance of rational classes of {P}ontrjagin}, JOURNAL = {Dokl. Akad. Nauk SSSR}, VOLUME = {163}, YEAR = {1965}, PAGES = {298--300}, MRCLASS = {57.32}, MRNUMBER = {33 \#1860}, MRREVIEWER = {B. L. Reinhart}, } @article {ogasa:ogasa:ribbon-mu, AUTHOR = {Ogasa, Eiji}, TITLE = {Ribbon-moves of 2-links preserve the {$\mu$}-invariant of 2-links}, JOURNAL = {J. Knot Theory Ramifications}, FJOURNAL = {Journal of Knot Theory and its Ramifications}, VOLUME = {13}, YEAR = {2004}, NUMBER = {5}, PAGES = {669--687}, ISSN = {0218-2165}, MRCLASS = {57Q45 (57M25 57M27 57Q60)}, MRNUMBER = {MR2080127 (2005g:57052)}, MRREVIEWER = {Riccardo Piergallini}, } @article{ogrady:relations, AUTHOR = {O'Grady, Kieran G.}, TITLE = {Relations among {D}onaldson polynomials of certain algebraic surfaces. {I},{I}{I}}, JOURNAL = {Forum Math.}, VOLUME = {8}, YEAR = {1996}, PAGES = {1--61,135--193} } @unpublished{ohta:rohlin, author = "Ohta, H.", title = "An integral lift of the {Rohlin} invariant and gauge theory", year = 1993, note = "Preprint"} @article {ohtsuki:finite, AUTHOR = {Ohtsuki, Tomotada}, TITLE = {Finite type invariants of integral homology $3$-spheres}, JOURNAL = {J. Knot Theory Ramifications}, FJOURNAL = {Journal of Knot Theory and its Ramifications}, VOLUME = {5}, YEAR = {1996}, NUMBER = {1}, PAGES = {101--115}, ISSN = {0218-2165}, MRCLASS = {57N10 (57M25)}, MRNUMBER = {97i:57019}, MRREVIEWER = {Zhenghan Wang}, } @book{okonek-schneider-spindler, title = "Vector bundles on complex projective spaces", author = "Okonek, C. and Schneider, M. and Spindler, H.", series = "Progress in Mathematics", volume = 3, publisher = "Birkhauser", address = "Boston", year = 1980} @incollection{okonek-teleman:b+0, AUTHOR = {Okonek, Christian and Teleman, Andrei}, TITLE = {Seiberg-{W}itten invariants for 4-manifolds with $b\sb +=0$}, BOOKTITLE = {Complex analysis and algebraic geometry}, PAGES = {347--357}, PUBLISHER = {de Gruyter}, ADDRESS = {Berlin}, YEAR = {2000}, MRCLASS = {53Dxx (32Lxx 57R57)}, MRNUMBER = {1 648 803}, } @article{okonek-ven:barlow, author = "Okonek, C. and {Van--de--Ven}, A.", title = "{$\Gamma$--type invariants associated to PU(2)--bundles and the differentiable structure of Barlow's surface}", journal = invent, volume = 95, pages = "601--614", year = 1989} @article{orevkov:zariski, AUTHOR = {Orevkov, S. Yu.}, TITLE = {The fundamental group of the complement of a plane algebraic curve}, JOURNAL = {Mat. Sb. (N.S.)}, FJOURNAL = {Matematicheski\u\i\ Sbornik. Novaya Seriya}, VOLUME = {137(179)}, YEAR = {1988}, NUMBER = {2}, PAGES = {260--270, 272}, ISSN = {0368-8666}, MRCLASS = {14H20 (14E20 32B30 57M05 57M25)}, MRNUMBER = {MR971697 (90e:14028)}, MRREVIEWER = {Anatoly Libgober}, note = {translation in Math. USSR-Sb. 65 (1990), no. 1, 267Ð277} } @article{orevkov:commutant, AUTHOR = {Orevkov, S. Yu.}, TITLE = {The commutant of the fundamental group of the complement of a plane algebraic curve}, JOURNAL = {Uspekhi Mat. Nauk}, FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk}, VOLUME = {45}, YEAR = {1990}, NUMBER = {1(271)}, PAGES = {183--184}, ISSN = {0042-1316}, MRCLASS = {14H30 (14H20)}, MRNUMBER = {MR1050939 (91g:14020)}, MRREVIEWER = {Anatoly Libgober}, } @misc{owens-strle:4ball, title = {{Rational homology spheres and four-ball genus}}, author = {Brendan Owens and Saso Strle}, eprint = {arXiv:math.GT/0308073}} @article{owens-strle:qhs4b, AUTHOR = {Owens, Brendan and Strle, Sa{\v{s}}o}, TITLE = {Rational homology spheres and the four-ball genus of knots}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {200}, YEAR = {2006}, NUMBER = {1}, PAGES = {196--216}, ISSN = {0001-8708}, CODEN = {ADMTA4}, MRCLASS = {57M27 (57M25 57N10 57N13)}, MRNUMBER = {MR2199633 (2006m:57016)}, MRREVIEWER = {Dave Auckly}, } @article{ozsvath:blowup, author = "{Ozsv\'ath}, P.", title = "Some blowup formulas for {SU(2) Donaldson} polynomials", year = 1994, journal = jdg, volume = 40, pages = "411--447"} @article {oz:z-surgery, AUTHOR = {Ozsv{\'a}th, Peter S. and Szab{\'o}, Zolt{\'a}n}, TITLE = {Knot {F}loer homology and integer surgeries}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {8}, YEAR = {2008}, NUMBER = {1}, PAGES = {101--153}, ISSN = {1472-2747}, MRCLASS = {57R58 (57M27)}, MRNUMBER = {2377279 (2008m:57075)}, MRREVIEWER = {John B. Etnyre}, DOI = {10.2140/agt.2008.8.101}, URL = {http://dx.doi.org/10.2140/agt.2008.8.101}, } @article {oz:q-surgery, AUTHOR = {Ozsv{\'a}th, Peter S. and Szab{\'o}, Zolt{\'a}n}, TITLE = {Knot {F}loer homology and rational surgeries}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {11}, YEAR = {2011}, NUMBER = {1}, PAGES = {1--68}, DOI = {10.2140/agt.2011.11.1}, URL = {http://arxiv.org/abs/math/0504404} } @article {oz:hf, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {Holomorphic disks and topological invariants for closed three-manifolds}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {159}, YEAR = {2004}, NUMBER = {3}, PAGES = {1027--1158}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {57M27 (32Q65 57R58)}, MRNUMBER = {MR2113019}, } @article {oz:hf-properties, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {Holomorphic disks and three-manifold invariants: properties and applications}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {159}, YEAR = {2004}, NUMBER = {3}, PAGES = {1159--1245}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {57M27 (32Q65 57R58)}, MRNUMBER = {MR2113020}, } @article {oz:hf4mfd, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {Holomorphic triangles and invariants for smooth four-manifolds}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {202}, YEAR = {2006}, NUMBER = {2}, PAGES = {326--400}, ISSN = {0001-8708}, CODEN = {ADMTA4}, MRCLASS = {57Rxx (53Dxx 57M27)}, MRNUMBER = {MR2222356}, } @article {oz:hfk-lens, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {On knot {F}loer homology and lens space surgeries}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {44}, YEAR = {2005}, NUMBER = {6}, PAGES = {1281--1300}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {57R58 (57M27 57R65)}, MRNUMBER = {MR2168576 (2006f:57034)}, MRREVIEWER = {Thomas E. Mark}, } @article {oz:knots, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {Holomorphic disks and knot invariants}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {186}, YEAR = {2004}, NUMBER = {1}, PAGES = {58--116}, ISSN = {0001-8708}, CODEN = {ADMTA4}, MRCLASS = {57M27 (32Q65)}, MRNUMBER = {MR2065507}, } @article {oz:mutation, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {Knot {F}loer homology, genus bounds, and mutation}, JOURNAL = {Topology Appl.}, FJOURNAL = {Topology and its Applications}, VOLUME = {141}, YEAR = {2004}, NUMBER = {1-3}, PAGES = {59--85}, ISSN = {0166-8641}, CODEN = {TIAPD9}, MRCLASS = {57M25 (57M50)}, MRNUMBER = {MR2058681}, } @article {oz:genus, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {Holomorphic disks and genus bounds}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {8}, YEAR = {2004}, PAGES = {311--334 (electronic)}, ISSN = {1465-3060}, MRCLASS = {57M27 (53D35 57N10 57R58)}, MRNUMBER = {MR2023281 (2004m:57024)}, MRREVIEWER = {Jacob Andrew Rasmussen}, } @article {oz:symplectic, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {Holomorphic triangle invariants and the topology of symplectic four-manifolds}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {121}, YEAR = {2004}, NUMBER = {1}, PAGES = {1--34}, ISSN = {0012-7094}, CODEN = {DUMJAO}, MRCLASS = {57R17 (53D35 57N13 57R57)}, MRNUMBER = {MR2031164 (2004m:57059)}, MRREVIEWER = {Stanislav Jabuka}, } @article {oz:4ball, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {Knot {F}loer homology and the four-ball genus}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {7}, YEAR = {2003}, PAGES = {615--639 (electronic)}, ISSN = {1465-3060}, MRCLASS = {57R58 (57M25 57M27)}, MRNUMBER = {MR2026543 (2004i:57036)}, MRREVIEWER = {Stanislav Jabuka}, } @article {oz:alternating, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {Heegaard {F}loer homology and alternating knots}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {7}, YEAR = {2003}, PAGES = {225--254 (electronic)}, ISSN = {1465-3060}, MRCLASS = {57R58 (53D40 57M27)}, MRNUMBER = {MR1988285 (2004f:57040)}, MRREVIEWER = {Jacob Andrew Rasmussen}, } @article {oz:plumbed, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {On the {F}loer homology of plumbed three-manifolds}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {7}, YEAR = {2003}, PAGES = {185--224 (electronic)}, ISSN = {1465-3060}, MRCLASS = {57R58 (53D40 57M27)}, MRNUMBER = {MR1988284 (2004h:57039)}, MRREVIEWER = {Jacob Andrew Rasmussen}, } @article {oz:boundary, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {Absolutely graded {F}loer homologies and intersection forms for four-manifolds with boundary}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {173}, YEAR = {2003}, NUMBER = {2}, PAGES = {179--261}, ISSN = {0001-8708}, CODEN = {ADMTA4}, MRCLASS = {57R58 (57M27)}, MRNUMBER = {MR1957829 (2003m:57066)}, MRREVIEWER = {Jacob Andrew Rasmussen}, } @article {oz:adjunction, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {Higher type adjunction inequalities in {S}eiberg-{W}itten theory}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {55}, YEAR = {2000}, NUMBER = {3}, PAGES = {385--440}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {57R57 (53D35 57R58)}, MRNUMBER = {MR1863729 (2002j:57061)}, MRREVIEWER = {Paolo Lisca}, } @article {oz:s1bundles, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {On embedding circle-bundles in four-manifolds}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {7}, YEAR = {2000}, NUMBER = {5-6}, PAGES = {657--669}, ISSN = {1073-2780}, MRCLASS = {57R57 (14J80 53C27)}, MRNUMBER = {MR1809292 (2002b:57037)}, MRREVIEWER = {Zhenbo Qin}, } @article {oz:thom, AUTHOR = {Ozsv{\'a}th, Peter and Szab{\'o}, Zolt{\'a}n}, TITLE = {The symplectic {T}hom conjecture}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {151}, YEAR = {2000}, NUMBER = {1}, PAGES = {93--124}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {57R57 (53D35 57R17)}, MRNUMBER = {MR1745017 (2001a:57049)}, MRREVIEWER = {Paolo Lisca}, } @article {pao:torus-I, AUTHOR = {Pao, Peter Sie}, TITLE = {The topological structure of $4$-manifolds with effective torus actions. {I}}, JOURNAL = {Trans. Amer. Math. Soc.}, VOLUME = {227}, YEAR = {1977}, PAGES = {279--317}, MRCLASS = {57E10}, MRNUMBER = {55 \#4232}, MRREVIEWER = {P. Orlik}, } @article {pao:torus-II, AUTHOR = {Pao, Peter Sie}, TITLE = {The topological structure of $4$-manifolds with effective torus actions. {I}{I}}, JOURNAL = {Illinois J. Math.}, VOLUME = {21}, YEAR = {1977}, NUMBER = {4}, PAGES = {883--894}, MRCLASS = {57E25}, MRNUMBER = {56 \#13241}, MRREVIEWER = {P. Orlik}, } @article{papa:homology, author = "Papadopoulos, A.", title = "Diff\'{e}ormorphismes pseudo-{A}nosov et automorphismes symplectiques de l'homologie", journal = ens, year = 1982, volume = 15, pages = "543-546"} @unpublished{perelman:ricci, author = "Perelman, Grisha", title = "The entropy formula for the {RIcci} flow and its geometric applications", note = "arXiv:math/0211159v1", year = 2002} @unpublished{perelman:surgery, author = "Perelman, Grisha", title = "{RIcci} flow with surgery on three-manifolds", note = " arXiv:math/0303109v1", year = 2003} @unpublished{perelman:extinction, author = "Perelman, Grisha", title = "Finite extinction time for the solutions to the {RIcci} flow on certain three-manifolds", note = " arXiv:math/0307245v1", year = 2003} @unpublished{peters:d-invariant, author= "Peters, Thomas D.", title = "A concordance invariant from the {Floer} homology of $\pm 1$ surgeries", note = "http://arxiv.org/abs/1003.3038", year = 2010} @article{perron:isotopy2, AUTHOR = {Perron, B.}, TITLE = {Pseudo-isotopies et isotopies en dimension quatre dans la cat\'egorie topologique}, JOURNAL = top, VOLUME = {25}, YEAR = {1986}, PAGES = {381--397} } @article {perron:isotopy1, AUTHOR = {Perron, Bernard}, TITLE = {Pseudo-isotopies et isotopies en dimension $4$ dans la cat\'egorie topologique}, JOURNAL = cras, VOLUME = {299}, YEAR = {1984}, NUMBER = {10}, PAGES = {455--458} } @incollection {plotnick:fibered, AUTHOR = {Plotnick, Steven P.}, TITLE = {Fibered knots in {$S\sp 4$}---twisting, spinning, rolling, surgery, and branching}, BOOKTITLE = {Four-manifold theory (Durham, N.H., 1982)}, SERIES = {Contemp. Math.}, VOLUME = {35}, PAGES = {437--459}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1984}, MRCLASS = {57N13 (57M25 57Q45)}, MRNUMBER = {MR780592 (87a:57021)}, MRREVIEWER = {Cameron McA. Gordon}, } @article {plotnick-suciu:spherical, AUTHOR = {Plotnick, Steven P. and Suciu, Alexander I.}, TITLE = {Fibered knots and spherical space forms}, JOURNAL = {J. London Math. Soc. (2)}, FJOURNAL = {Journal of the London Mathematical Society. Second Series}, VOLUME = {35}, YEAR = {1987}, NUMBER = {3}, PAGES = {514--526}, ISSN = {0024-6107}, CODEN = {JLMSAK}, MRCLASS = {57Q45}, MRNUMBER = {MR889373 (88f:57038)}, MRREVIEWER = {Jonathan A. Hillman}, } @article {pontrjagin:pi3, AUTHOR = {Pontrjagin, L.}, TITLE = {Mappings of the three-dimensional sphere into an {$n$}-dimensional complex}, JOURNAL = {C. R. (Doklady) Acad. Sci. URSS (N. S.)}, VOLUME = {34}, YEAR = {1942}, PAGES = {35--37}, MRCLASS = {56.0X}, MRNUMBER = {4,249e}, MRREVIEWER = {S. Eilenberg}, } @article{porti, author = "Porti, Joan", title = "Torsion de {Reidemeister} pour les {vari\'et\'es} hyperboliques. ", journal = mams, volume = 128, year = 1997, pages = "1--139"} @article{prasad, author = "Prasad, G.", title = "rigidity", journal = invent, volume = 21, pages = "255--286", year = 1973} @article{quillen:determinants, author = "Quillen, D.G.", title = "Determinants of {Cauchy--Riemann} operators over a {Riemann} surface", journal = "Funct.\ Anal.\ Appl.", volume = 14, year = 1985, pages = "31--34"} @article {quinn:bordism, AUTHOR = {Quinn, Frank}, TITLE = {Open book decompositions, and the bordism of automorphisms}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {18}, YEAR = {1979}, NUMBER = {1}, PAGES = {55--73}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {57Q45}, MRNUMBER = {81e:57027}, MRREVIEWER = {Louis H. Kauffman}, } @article {quinn:annulus, AUTHOR = {Quinn, Frank}, TITLE = {Ends of maps. {III}. {D}imensions {$4$} and {$5$}}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {17}, YEAR = {1982}, NUMBER = {3}, PAGES = {503--521}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {57N13}, MRNUMBER = {MR679069 (84j:57012)}, MRREVIEWER = {R. C. Kirby}, } @article{quinn:isotopy, author = "Quinn, F.", title = "Isotopy of 4-manifolds", journal = jdg, volume = 24, year = 1986, pages = "343--372"} @article{RGK:mutation, author = "Ramadevi, P. and Govindarajan, T. R. and Kaul, R. K.", title = "Representations of composite braids and invariants for mutant knots and links in {Chern-Simons} field theories", journal = "Modern Phys. Lett. A", volume = 10, year = 1995, pages = "1635--1658"} @book {ranicki:hauptvermutung, AUTHOR = {Ranicki, A. A. and Casson, A. J. and Sullivan, D. P. and Armstrong, M. A. and Rourke, C. P. and Cooke, G. E.}, TITLE = {The {H}auptvermutung book}, SERIES = {$K$-Monographs in Mathematics}, VOLUME = {1}, NOTE = {A collection of papers of the topology of manifolds}, PUBLISHER = {Kluwer Academic Publishers}, ADDRESS = {Dordrecht}, YEAR = {1996}, PAGES = {vi+190}, ISBN = {0-7923-4174-0}, MRCLASS = {57Q25 (57-06)}, MRNUMBER = {MR1434100 (98c:57024)}, MRREVIEWER = {Oliver Attie}, } @unpublished{rasmussen:hfk, author = "Rasmussen, Jacob Andrew", title = "Floer homology and knot complements", Note = "{PhD thesis, Harvard University}", year = 2003} @article{rasmussen:khovanov-slice, AUTHOR = {Rasmussen, Jacob}, TITLE = {Khovanov homology and the slice genus}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {182}, YEAR = {2010}, NUMBER = {2}, PAGES = {419--447}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {57Mxx}, MRNUMBER = {2729272}, DOI = {10.1007/s00222-010-0275-6}, URL = {http://dx.doi.org/10.1007/s00222-010-0275-6}, }} @incollection {rasmussen:knot-homologies, AUTHOR = {Rasmussen, Jacob}, TITLE = {Knot polynomials and knot homologies}, BOOKTITLE = {Geometry and topology of manifolds}, SERIES = {Fields Inst. Commun.}, VOLUME = {47}, PAGES = {261--280}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {2005}, MRCLASS = {57M27 (57M25 57R58)}, MRNUMBER = {MR2189938 (2006i:57029)}, MRREVIEWER = {Stanislav Jabuka}, } @article {rice:s-equivalence, AUTHOR = {Rice, P. M.}, TITLE = {Equivalence of {A}lexander matrices}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {193}, YEAR = {1971}, PAGES = {65--75}, ISSN = {0025-5831}, MRCLASS = {55.20}, MRNUMBER = {0287528 (44 \#4732)}, MRREVIEWER = {L. Neuwirth}, } @article{riley:rep, author = "Riley, R.", journal = "Math.\ Comp.", title = "Homomorphisms of Knot groups on finite groups", volume = 25, pages = "603--619", year = 1971} @article{rohlin:genus, author = "Rohlin, V.A.", title = "Two--dimensional submanifolds of four dimensional manifolds", journal = "Functional Anal. and Appl.", volume = 5, year = 1971, pages = "39--48"} @preamble{ "\def\cprime{$'$} " } @article {rohlin:arf, AUTHOR = {Rohlin, V. A.}, TITLE = {Proof of a conjecture of {G}udkov}, JOURNAL = {Funkcional. Anal. i Prilo\v zen.}, FJOURNAL = {Akademija Nauk SSSR. Funkcional\cprime nyi Analiz i ego Prilo\v zenija}, VOLUME = {6}, YEAR = {1972}, NUMBER = {2}, PAGES = {62--64}, ISSN = {0374-1990}, MRCLASS = {14N99}, MRNUMBER = {MR0296070 (45 \#5131)}, MRREVIEWER = {A. H. Wallace}, note = {Translation, {Functional Anal. Appl.} {\bf 6} (1972), {136--138}} } @article{rohlin:pontrjagin, author = {Rohlin, V. A.}, title = {On {P}ontrjagin characteristic classes. ({R}ussian)}, journal = {Dokl. Akad. Nauk SSSR (N.S.)}, year = 1957, volume = 113, pages = "276--279" } @book{rolfsen:knots, author = "Rolfsen, D.", title = "Knots and Links", publisher = "Publish or Perish", year = 1976, address = "Berkeley"} @article{rong:mutation, author = "Rong, Y.", title = "Mutation and {Witten} invariants", journal = top, volume= 33, year = 1994, pages = "499--507"} @article {rosenberg:psc-novikov-I, AUTHOR = {Rosenberg, Jonathan}, TITLE = {{$C\sp{\ast} $}-algebras, positive scalar curvature, and the {N}ovikov conjecture}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques}, NUMBER = {58}, YEAR = {1983}, PAGES = {197--212 (1984)}, ISSN = {0073-8301}, CODEN = {PMIHA6}, MRCLASS = {58G12 (46L05 46M20 53C20 57R15)}, MRNUMBER = {MR720934 (85g:58083)}, MRREVIEWER = {Howard D. Rees}, } @incollection {rosenberg:psc-novikov-II, AUTHOR = {Rosenberg, J.}, TITLE = {{$C\sp \ast$}-algebras, positive scalar curvature and the {N}ovikov conjecture. {II}}, BOOKTITLE = {Geometric methods in operator algebras (Kyoto, 1983)}, SERIES = {Pitman Res. Notes Math. Ser.}, VOLUME = {123}, PAGES = {341--374}, PUBLISHER = {Longman Sci. Tech.}, ADDRESS = {Harlow}, YEAR = {1986}, MRCLASS = {58G12 (18F25 19K56 46L80 46M20 53C15 57R15)}, MRNUMBER = {MR866507 (88f:58140)}, MRREVIEWER = {Howard D. Rees}, } @article {rosenberg:psc-novikov-III, AUTHOR = {Rosenberg, Jonathan}, TITLE = {{$C\sp \ast$}-algebras, positive scalar curvature, and the {N}ovikov conjecture. {III}}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {25}, YEAR = {1986}, NUMBER = {3}, PAGES = {319--336}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {58G12 (18F25 19K56 46L80 46M20 53C15 57R15)}, MRNUMBER = {MR842428 (88f:58141)}, MRREVIEWER = {Howard D. Rees}, } @incollection{rosenberg-stolz:psc, AUTHOR = {Rosenberg, Jonathan and Stolz, Stephan}, TITLE = {Metrics of positive scalar curvature and connections with surgery}, BOOKTITLE = {Surveys on surgery theory, Vol. 2}, PAGES = {353--386}, PUBLISHER = {Princeton Univ. Press}, ADDRESS = {Princeton, NJ}, YEAR = {2001}, MRCLASS = {53Cxx (57R65)}, MRNUMBER = {1 818 778}, } @book {MR2000k:57004, TITLE = {Surveys on surgery theory. {V}ol. 1}, EDITOR = {Cappell, Sylvain and Ranicki, Andrew and Rosenberg, Jonathan}, NOTE = {Papers dedicated to C. T. C. Wall}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, NJ}, YEAR = {2000}, PAGES = {viii+439}, ISBN = {0-691-04937-8; 0-691-04938-6}, MRCLASS = {57-06 (57R99)}, MRNUMBER = {2000k:57004}, } @book {MR1818769, TITLE = {Surveys on surgery theory. {V}ol. 2}, EDITOR = {Cappell, Sylvain and Ranicki, Andrew and Rosenberg, Jonathan}, NOTE = {Papers dedicated to C. T. C. Wall}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, NJ}, YEAR = {2001}, PAGES = {viii+436}, ISBN = {0-691-08814-4; 0-691-08815-2}, MRCLASS = {57-06 (00B30 19J25 57R65)}, MRNUMBER = {1 818 769}, } @incollection {rosenberg:semigroup, AUTHOR = {Rosenberg, Steven}, TITLE = {Applications of semigroup domination}, BOOKTITLE = {Diffusion processes and related problems in analysis, Vol.\ I (Evanston, IL, 1989)}, PAGES = {285--291}, PUBLISHER = {Birkh\"auser Boston}, ADDRESS = {Boston, MA}, YEAR = {1990}, MRCLASS = {58G30 (53C21 58G10 58G25)}, MRNUMBER = {92e:58229}, } @incollection {rosenberg:vanishing, AUTHOR = {Rosenberg, Steven}, TITLE = {Semigroup domination and vanishing theorems}, BOOKTITLE = {Geometry of random motion (Ithaca, N.Y., 1987)}, PAGES = {287--302}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1988}, MRCLASS = {58G30 (58G25 58G32)}, MRNUMBER = {90k:58243}, } @article {rourke-sullivan:arf, AUTHOR = {Rourke, C. P. and Sullivan, D. P.}, TITLE = {On the {K}ervaire obstruction}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {94}, YEAR = {1971}, PAGES = {397--413}, ISSN = {0003-486X}, MRCLASS = {57C50 (57C35)}, MRNUMBER = {MR0305416 (46 \#4546)}, MRREVIEWER = {H. Suzuki}, } @article {ruan:mod2, AUTHOR = {Ruan, Yongbin}, TITLE = {A universal constraint for {D}onaldson invariants}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {35}, YEAR = {1992}, NUMBER = {3}, PAGES = {711--722}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {57R57 (57N13 58D29)}, MRNUMBER = {93c:57025}, MRREVIEWER = {Ronald J. Stern}, } @unpublished{ruberman:casson, author = "Ruberman, D.", title = "On the homotopy invariance of {Casson's} invariant", note = "unpublished manuscript", year = 1992} @article{ruberman:imbedding, AUTHOR = {Ruberman, Daniel}, TITLE = {Imbedding four-manifolds and slicing links}, JOURNAL = {Math. Proc. Cambridge Philos. Soc.}, FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical Society}, VOLUME = {91}, YEAR = {1982}, NUMBER = {1}, PAGES = {107--110}, ISSN = {0305-0041}, CODEN = {MPCPCO}, MRCLASS = {57R40 (57M25)}, MRNUMBER = {MR633261 (83d:57022)}, MRREVIEWER = {R. Mandelbaum}, } @article{ruberman:ds, AUTHOR = {Ruberman, Daniel}, TITLE = {Doubly slice knots and the {C}asson-{G}ordon invariants}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {279}, YEAR = {1983}, NUMBER = {2}, PAGES = {569--588}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {57Q45 (57Q60)}, MRNUMBER = {MR709569 (85e:57025)}, MRREVIEWER = {Cameron McA. Gordon}, } @article{ruberman:involution, AUTHOR = {Ruberman, Daniel}, TITLE = {Invariant knots of free involutions of {$S\sp 4$}}, JOURNAL = {Topology Appl.}, FJOURNAL = {Topology and its Applications}, VOLUME = {18}, YEAR = {1984}, NUMBER = {2-3}, PAGES = {217--224}, ISSN = {0166-8641}, CODEN = {TIAPD9}, MRCLASS = {57Q45 (57S25)}, MRNUMBER = {MR769292 (86h:57018)}, MRREVIEWER = {Allan Edmonds}, } @article{ruberman:lens, AUTHOR = {Ruberman, Daniel}, TITLE = {Imbedding punctured lens spaces and connected sums}, JOURNAL = {Pacific J. Math.}, FJOURNAL = {Pacific Journal of Mathematics}, VOLUME = {113}, YEAR = {1984}, NUMBER = {2}, PAGES = {481--491}, ISSN = {0030-8730}, CODEN = {PJMAAI}, MRCLASS = {57R40}, MRNUMBER = {MR749551 (85j:57045)}, MRREVIEWER = {Cameron McA. Gordon}, } @incollection{ruberman:links, AUTHOR = {Ruberman, Daniel}, TITLE = {Concordance of links in {$S\sp 4$}}, BOOKTITLE = {Four-manifold theory (Durham, N.H., 1982)}, SERIES = {Contemp. Math.}, VOLUME = {35}, PAGES = {481--483}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1984}, MRCLASS = {57Q45 (57M25)}, MRNUMBER = {MR780595 (86g:57017)}, MRREVIEWER = {G. Burde}, } @article{ruberman:mutation, AUTHOR = {Ruberman, Daniel}, TITLE = {Mutation and volumes of knots in {$S\sp 3$}}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {90}, YEAR = {1987}, NUMBER = {1}, PAGES = {189--215}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {57N10 (57M25)}, MRNUMBER = {MR906585 (89d:57018)}, MRREVIEWER = {J. H. Rubinstein}, } @article{ruberman:ds2, AUTHOR = {Ruberman, Daniel}, TITLE = {The {C}asson-{G}ordon invariants in high-dimensional knot theory}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {306}, YEAR = {1988}, NUMBER = {2}, PAGES = {579--595}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {57Q45 (57M12 57M25 57R67)}, MRNUMBER = {MR933307 (89g:57031)}, MRREVIEWER = {Don{\v{c}}o Dimovski}, } @article{ruberman:rational, AUTHOR = {Ruberman, Daniel}, TITLE = {Rational homology cobordisms of rational space forms}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {27}, YEAR = {1988}, NUMBER = {4}, PAGES = {401--414}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {57R90 (53C05 57N13 58E15 58G12)}, MRNUMBER = {MR976583 (90a:57051)}, MRREVIEWER = {Terry Lawson}, } @article{ruberman:seifert, author = "Ruberman, D.", title = "Seifert surfaces of knots in ${S}^4$", journal = pac, volume = 145, pages = "97--116", year = 1990} @article{ruberman:k3, author = "Ruberman, D.", title = "Smooth $2$--spheres in indefinite $4$--manifolds", year = 1994, journal = topapp, volume = 59, pages = "87-99"} @article {ruberman:sphere, AUTHOR = {Ruberman, Daniel}, TITLE = {Smooth {$2$}-spheres in homology {$K3$} surfaces}, JOURNAL = {Topology Appl.}, FJOURNAL = {Topology and its Applications}, VOLUME = {59}, YEAR = {1994}, NUMBER = {1}, PAGES = {87--99}, ISSN = {0166-8641}, CODEN = {TIAPD9}, MRCLASS = {57N13 (57R40)}, MRNUMBER = {MR1293120 (95h:57022)}, MRREVIEWER = {Ronald J. Stern}, } @article{ruberman:spin, AUTHOR = {Ruberman, Daniel}, TITLE = {Involutions on spin {$4$}-manifolds}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {123}, YEAR = {1995}, NUMBER = {2}, PAGES = {593--596}, ISSN = {0002-9939}, CODEN = {PAMYAR}, MRCLASS = {57M60 (57N13 57S17)}, MRNUMBER = {MR1231042 (95c:57023)}, MRREVIEWER = {Allan Edmonds}, } @article{ruberman:config, author = "Ruberman, D.", title = "Configurations of 2-spheres in a homology {K3}-surface", journal = camb, volume = 120, year = 1996, pages = "247--253"} @article{ruberman:negative, author = "Ruberman, D.", title = "Relations among Donaldson invariants arising from negative 2-spheres and tori", journal = duke, volume = 83, pages = "645--660", year = 1996} @article{ruberman:thomrat, AUTHOR = {Ruberman, Daniel}, TITLE = {The minimal genus of an embedded surface of non-negative square in a rational surface}, JOURNAL = {Turkish J. Math.}, FJOURNAL = {Turkish Journal of Mathematics}, VOLUME = {20}, YEAR = {1996}, NUMBER = {1}, PAGES = {129--133}, ISSN = {1300-0098}, MRCLASS = {57R40 (14J99 57N13 57R95)}, MRNUMBER = {MR1392668 (97k:57036)}, MRREVIEWER = {Jim A. Bryan}, } @incollection {ruberman:codim1, AUTHOR = {Ruberman, Daniel}, TITLE = {Null-homotopic embedded spheres of codimension one}, BOOKTITLE = {Tight and taut submanifolds (Berkeley, CA, 1994)}, SERIES = {Math. Sci. Res. Inst. Publ.}, VOLUME = {32}, PAGES = {229--232}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {1997}, MRCLASS = {57N35 (55P60)}, MRNUMBER = {MR1486874 (98h:57044)}, MRREVIEWER = {Laurence R. Taylor}, } @article {ruberman-stern:fake, AUTHOR = {Ruberman, Daniel and Stern, Ronald J.}, TITLE = {A fake smooth {${\bf C}{\rm P}\sp 2\#{\bf R}{\rm P}\sp 4$}}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {4}, YEAR = {1997}, NUMBER = {2-3}, PAGES = {375--378}, ISSN = {1073-2780}, MRCLASS = {57R10 (57M05 57M25 57N13 57R55)}, MRNUMBER = {MR1453067 (98d:57043)}, MRREVIEWER = {Chichen M. Tsau}, } @article {ruberman:isotopy, AUTHOR = {Ruberman, Daniel}, TITLE = {An obstruction to smooth isotopy in dimension $4$}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {5}, YEAR = {1998}, NUMBER = {6}, PAGES = {743--758}, note = "Available online, {http://www.math.brandeis.edu/Faculty/ruberman/dr\_papers.html}", ISSN = {1073-2780}, MRCLASS = {57R52 (57N37 57R57)}, MRNUMBER = {2000c:57061}, MRREVIEWER = {Ignasi Mundet-Riera}, } @inproceedings {ruberman:polyisotopy, AUTHOR = {Ruberman, Daniel}, TITLE = {A polynomial invariant of diffeomorphisms of 4-manifolds}, BOOKTITLE = {Proceedings of the Kirbyfest (Berkeley, CA, 1998)}, PAGES = {473--488 (electronic)}, PUBLISHER = {Geom. Topol., Coventry}, YEAR = {1999}, MRCLASS = {57R57 (57N13 57R50)}, MRNUMBER = {2001b:57073}, MRREVIEWER = {Ignasi Mundet-Riera}, } @article {ruberman:hfmut, AUTHOR = {Ruberman, Daniel}, TITLE = {Mutation and gauge theory. {I}. {Y}ang-{M}ills invariants}, JOURNAL = {Comment. Math. Helv.}, FJOURNAL = {Commentarii Mathematici Helvetici}, VOLUME = {74}, YEAR = {1999}, NUMBER = {4}, PAGES = {615--641}, ISSN = {0010-2571}, CODEN = {COMHAX}, MRCLASS = {57R58 (57M27)}, MRNUMBER = {2001c:57032}, MRREVIEWER = {Yongwu Rong}, } @article {ruberman:embtangle, AUTHOR = {Ruberman, Daniel}, TITLE = {Embedding tangles in links}, JOURNAL = {J. Knot Theory Ramifications}, FJOURNAL = {Journal of Knot Theory and its Ramifications}, VOLUME = {9}, YEAR = {2000}, NUMBER = {4}, PAGES = {523--530}, ISSN = {0218-2165}, MRCLASS = {57M25 (57M12 57M27)}, MRNUMBER = {1 758 870}, MRREVIEWER = {Masahico Saito}, } @article {ruberman-strle:tori, AUTHOR = {Ruberman, Daniel and Strle, Sa{\v{s}}o}, TITLE = {Mod 2 {S}eiberg-{W}itten invariants of homology tori}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {7}, YEAR = {2000}, NUMBER = {5-6}, PAGES = {789--799}, ISSN = {1073-2780}, MRCLASS = {57R57 (57R15)}, MRNUMBER = {2002e:57045}, MRREVIEWER = {Weimin Chen}, } @article{ruberman:swpos, AUTHOR = {Ruberman, Daniel}, TITLE = {Positive scalar curvature, diffeomorphisms and the {S}eiberg-{W}itten invariants}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {5}, YEAR = {2001}, PAGES = {895--924 (electronic)}, ISSN = {1465-3060}, MRCLASS = {57R57 (53C21)}, MRNUMBER = {MR1874146 (2002k:57076)}, MRREVIEWER = {Stefano Vidussi}, } @article {ruberman:isospectral, AUTHOR = {Ruberman, Daniel}, TITLE = {Isospectrality and 3-manifold groups}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {129}, YEAR = {2001}, NUMBER = {8}, PAGES = {2467--2471 (electronic)}, ISSN = {0002-9939}, CODEN = {PAMYAR}, MRCLASS = {58J28 (57N10 58J53)}, MRNUMBER = {MR1823933 (2002d:58031)}, MRREVIEWER = {Dave Auckly}, } @article{ruberman-saveliev:casson, AUTHOR = {Ruberman, Daniel and Saveliev, Nikolai}, TITLE = {Rohlin's invariant and gauge theory. {I}. {H}omology 3-tori}, JOURNAL = {Comment. Math. Helv.}, FJOURNAL = {Commentarii Mathematici Helvetici}, VOLUME = {79}, YEAR = {2004}, NUMBER = {3}, PAGES = {618--646}, ISSN = {0010-2571}, CODEN = {COMHAX}, MRCLASS = {57M27 (57R58 58D27)}, MRNUMBER = {MR2081729}, } @article{ruberman-saveliev:mappingtori, AUTHOR = {Ruberman, Daniel and Saveliev, Nikolai}, TITLE = {Rohlin's invariant and gauge theory. {II}. {M}apping tori}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry and Topology}, VOLUME = {8}, YEAR = {2004}, PAGES = {35--76 (electronic)}, ISSN = {1465-3060}, MRCLASS = {57R57 (57R58)}, MRNUMBER = {MR2033479}, } @article{ruberman-saveliev:4tori, AUTHOR = {Ruberman, Daniel and Saveliev, Nikolai}, TITLE = {Rohlin's invariant and gauge theory. {III}. {H}omology 4--tori}, JOURNAL = {Geom. Topol.}, VOLUME = {9}, YEAR = {2005}, pages= {2079--2127 (electronic)}, } @incollection{ruberman-saveliev:survey, AUTHOR = {Ruberman, Daniel and Saveliev, Nikolai}, TITLE = {{C}asson--type invariants in dimension four}, booktitle={{G}eometry and {T}opology of {M}anifolds}, series= {Fields Institute Communications}, volume = 47, publisher = {AMS}, year =2005, url = {arXiv.org/math.GT/0501090} } @article {ruberman-saveliev:periodic, AUTHOR = {Ruberman, Daniel and Saveliev, Nikolai}, TITLE = {Dirac operators on manifolds with periodic ends}, JOURNAL = {J. G\"okova Geom. Topol. GGT}, FJOURNAL = {Journal of G\"okova Geometry Topology. GGT}, VOLUME = {1}, YEAR = {2007}, PAGES = {33--50}, ISSN = {1935-2565}, MRCLASS = {58Jxx}, MRNUMBER = {MR2386534}, } @unpublished{ruberman-saveliev:mubar, AUTHOR = {Ruberman, Daniel and Saveliev, Nikolai}, TITLE = {{The {$\bar\mu$}--invariant of Seifert fibered homology spheres and the Dirac operator}}, NOTE = {Geom. Dedic., to appear}, year =2010, url = {http://arxiv.org/abs/1009.3201} } @unpublished{ruberman:pscorb, AUTHOR = {Ruberman, Daniel}, TITLE = {Positive scalar curvature metrics on quotients of group actions}, year = {2001}, Note = {Preprint} } @unpublished{ruberman:swwell, AUTHOR = {Ruberman, Daniel}, TITLE = {The {S}eiberg-{W}itten invariants of manifolds with wells of negative curvature }, year = {2001}, Note = {Preprint, available at http://www.arxiv.org/abs/math.GT/0205234} } @unpublished{rubinstein:z3-actions, author = "Rubinstein, H.", title = "${\bf Z}_{3}$-actions on lens spheres", year = 1984, note = "(Lecture at MSRI)"} @article{rudolph:quasi-slice, AUTHOR = {Rudolph, Lee}, TITLE = {Quasipositivity as an obstruction to sliceness}, JOURNAL = {Bull. Amer. Math. Soc. (N.S.)}, FJOURNAL = {American Mathematical Society. Bulletin. New Series}, VOLUME = {29}, YEAR = {1993}, NUMBER = {1}, PAGES = {51--59}, ISSN = {0273-0979}, CODEN = {BAMOAD}, MRCLASS = {57M25 (32S55)}, MRNUMBER = {MR1193540 (94d:57028)}, MRREVIEWER = {Charles Livingston}, } @article{rudolph:contact-slice, AUTHOR = {Rudolph, Lee}, TITLE = {An obstruction to sliceness via contact geometry and ``classical'' gauge theory}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {119}, YEAR = {1995}, NUMBER = {1}, PAGES = {155--163}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {57M25 (53C15 57R57)}, MRNUMBER = {MR1309974 (95k:57013)}, MRREVIEWER = {Ricardo F. Vila Freyer}, } @article{sacks-uhlenbeck, author = "Sacks, J. and Uhlenbeck, K.", title = "The existence of minimal immersions of 2-spheres", journal = annals, volume = 113, pages = "1--24", year = 1981} @article{sakuma, author = "Sakuma,M.", title = "Surface bundles over $S^1$ which are 2-fold branched covering of 3-manifolds", year = 1981, volume = 9, journal = "Math.\ Sem.\ Notes {(Osaka)}", pages = "159--180"} @inproceedings {salamon:lefschetz, AUTHOR = {Salamon, Dietmar A.}, TITLE = {Seiberg-{W}itten invariants of mapping tori, symplectic fixed points, and {L}efschetz numbers}, BOOKTITLE = {Proceedings of 6th G\"okova Geometry-Topology Conference}, JOURNAL = {Turkish J. Math.}, FJOURNAL = {Turkish Journal of Mathematics}, VOLUME = {23}, YEAR = {1999}, PAGES = {117--143}, ISSN = {1300-0098}, MRCLASS = {57R57 (53D40)}, MRNUMBER = {2001i:57046}, } @article{satake, author = "Satake, I.", title = "On a generalization of the notion of manifold", journal = "Proc. Nat. Acam. Sc.", volume = 42, year = 1956, pages = "359--363"} @article{sato, author = "Sato,N.", title = "Cobordisms of semi--boundary links", journal = topapp, volume = 18, year = 1984, pages = "225--234"} @book {saveliev:spheres, AUTHOR = {Saveliev, Nikolai}, TITLE = {Invariants for homology {$3$}-spheres}, SERIES = {Encyclopaedia of Mathematical Sciences}, VOLUME = {140}, NOTE = {Low-Dimensional Topology, I}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {2002}, PAGES = {xii+223}, ISBN = {3-540-43796-7}, MRCLASS = {57M27 (57N10 57R58)}, MRNUMBER = {2004c:57026}, MRREVIEWER = {Hans U. Boden}, } @book {saveliev:casson, AUTHOR = {Saveliev, Nikolai}, TITLE = {Lectures on the topology of $3$-manifolds}, NOTE = {An introduction to the Casson invariant}, PUBLISHER = {Walter de Gruyter \& Co.}, ADDRESS = {Berlin}, YEAR = {1999}, PAGES = {x+199}, ISBN = {3-11-016271-7}, MRCLASS = {57N10 (57M25 57M27 57N13 57R58)}, MRNUMBER = {2001h:57024}, MRREVIEWER = {Christine Lescop}, } @article {saveliev:brieskorn, AUTHOR = {Saveliev, Nikolai}, TITLE = {Floer homology of {B}rieskorn homology spheres}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {53}, YEAR = {1999}, NUMBER = {1}, PAGES = {15--87}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {57R58 (57M25)}, MRNUMBER = {2002b:57038}, MRREVIEWER = {Olivier Collin}, } @article{saveliev:cork, AUTHOR = {Saveliev, Nikolai}, TITLE = {A note on {A}kbulut corks}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {10}, YEAR = {2003}, NUMBER = {5-6}, PAGES = {77--786} } @article {saveliev:seifert, AUTHOR = {Saveliev, Nikolai}, TITLE = {Representation spaces of {S}eifert fibered homology spheres}, JOURNAL = {Topology Appl.}, FJOURNAL = {Topology and its Applications}, VOLUME = {126}, YEAR = {2002}, NUMBER = {1-2}, PAGES = {49--61}, ISSN = {0166-8641}, CODEN = {TIAPD9}, MRCLASS = {57R58}, MRNUMBER = {2003g:57050}, MRREVIEWER = {Paul A. Kirk}, } @article {scharlemann:transversality, AUTHOR = {Scharlemann, Martin G.}, TITLE = {Transversality theories at dimension four}, JOURNAL = {Invent. Math.}, VOLUME = {33}, YEAR = {1976}, NUMBER = {1}, PAGES = {1--14}, MRCLASS = {57A55 (57A15)}, MRNUMBER = {53 \#14502}, MRREVIEWER = {R. C. Kirby}, } @article {scharlemann:phs, AUTHOR = {Scharlemann, Martin}, TITLE = {Constructing strange manifolds with the dodecahedral space}, JOURNAL = {Duke Math. J.}, VOLUME = {43}, YEAR = {1976}, NUMBER = {1}, PAGES = {33--40}, MRCLASS = {57C25 (57C15)}, MRNUMBER = {53 \#6574}, MRREVIEWER = {Roger Fenn}, } @book {schoen-yau:lectures, AUTHOR = {Schoen, R. and Yau, S.-T.}, TITLE = {Lectures on differential geometry}, SERIES = {Conference Proceedings and Lecture Notes in Geometry and Topology, I}, PUBLISHER = {International Press}, ADDRESS = {Cambridge, MA}, YEAR = {1994} } @article {schoen-yau:psc, AUTHOR = {Schoen, R. and Yau, S. T.}, TITLE = {On the structure of manifolds with positive scalar curvature}, JOURNAL = {Manuscripta Math.}, FJOURNAL = {Manuscripta Mathematica}, VOLUME = {28}, YEAR = {1979}, NUMBER = {1-3}, PAGES = {159--183}, ISSN = {0025-2611}, CODEN = {MSMHB2}, MRCLASS = {53C20 (58E20 83C99)}, MRNUMBER = {80k:53064}, MRREVIEWER = {Paul E. Ehrlich}, } @article{schoen-yau:existence, author = "Schoen, R. and Yau, S.T.", title = "Existence of incompressible minimal surfaces and the topology of 3-dimensional manifolds with non-negative scalar curvature", journal = annals, volume = 110, year = 1979, pages = "127-142"} @article {schick:glr, AUTHOR = {Schick, Thomas}, TITLE = {A counterexample to the (unstable) {G}romov-{L}awson-{R}osenberg conjecture}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {37}, YEAR = {1998}, NUMBER = {6}, PAGES = {1165--1168}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {53C21 (19K99 57R65)}, MRNUMBER = {99j:53049}, MRREVIEWER = {Ian Hambleton}, } @article{scott:lerf, author = "Scott, P.", title = "Subgroups of surface groups are almost geometric", journal = jlms, volume = 17, pages = "555-565", year = 1978} @article{scott:seifert, author= "Scott, P.", title = "There are no fake {Seifert fibre spaces with infinite $\pi_1$}", journal = annals, volume = 117, year = 1983, pages = "35--70"} @article{seeley-singer, author = "Seeley, R. and Singer, I.M.", title = "Extending {$\bar{\partial}$} to singular {Riemann} surfaces", journal = "Jour.\ Geo.\ Phys.", volume = 5, year = 1988, pages = "121--136"} @article{seeley:dirac, AUTHOR = {Seeley, R.}, TITLE = {Conic degeneration of the {D}irac operator}, JOURNAL = {Colloq. Math.}, VOLUME = {60/61}, YEAR = {1990}, PAGES = {649--658} } @article {seidel:symplectic, author = "Seidel, P.", TITLE = {$\pi\sb 1$ of symplectic automorphism groups and invertibles in quantum homology rings}, JOURNAL = {Geom. Funct. Anal.}, VOLUME = {7}, YEAR = {1997}, PAGES = {1046--1095} } @incollection{selberg:lemma, author = "Selberg, A.", title = "On discontinuous groups acting in higher dimensional symmetric space", booktitle = "Contributions to Function Theory", publisher = "Tata Institute", address = "Bombay", pages = "147-164", year = 1960} @article{seshadri:fibres, author = "Seshadri, C.", title = "Fibr{\' {e}}s vectoriels sur les courbes alg{\' {e}}briques", journal = ast, volume = 96, year = 1982} @book {shafarevich:basic, AUTHOR = {Shafarevich, I. R.}, TITLE = {Basic algebraic geometry}, NOTE = {Translated from the Russian by K. A. Hirsch, Die Grundlehren der mathematischen Wissenschaften, Band 213}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1974}, PAGES = {xv+439}, MRCLASS = {14-XX}, MRNUMBER = {51 \#3163}, } @article {shaneson:product, AUTHOR = {Shaneson, Julius L.}, TITLE = {Wall's surgery obstruction groups for {$G\times Z$}}, JOURNAL = {Ann. of Math. (2)}, VOLUME = {90}, YEAR = {1969}, PAGES = {296--334}, MRCLASS = {57.10}, MRNUMBER = {39 \#7614}, MRREVIEWER = {R. Schultz}, } @article{siebenmann:rohlin, author = "Siebenmann, L.", title = "On the vanishing of the Rochlin invariant and non-finitely amphicheiral homology 3-spheres", journal = lnm, volume = 788, pages = "223-244", year = 1980} @article{simon, author = "Simon, L.", title = "Asymptotics for a class of non--linear evolution equations with applications to geometric problems", journal = annals, volume = 118, year = 1983, pages = "525--571"} @book {slodowy:singularities, AUTHOR = {Slodowy, Peter}, TITLE = {Simple singularities and simple algebraic groups}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1980}, PAGES = {x+175}, ISBN = {3-540-10026-1}, MRCLASS = {14J17 (20G15 32B30)}, MRNUMBER = {82g:14037}, MRREVIEWER = {Jonathan M. Wahl}, } @article {smolinsky:signatures, AUTHOR = {Smolinsky, Lawrence}, TITLE = {A generalization of the {L}evine-{T}ristram link invariant}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {315}, YEAR = {1989}, NUMBER = {1}, PAGES = {205--217}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {57Q45 (57M25)}, MRNUMBER = {89m:57021}, MRREVIEWER = {V. G. Turaev}, } @book{spivak, author = "Spivak, M.", title = "A comprehensive introduction to Differential Geometry", publisher = "Publish or Perish", year = 1976, address = "Berkeley"} @incollection {stern:clay, AUTHOR = {Stern, Ronald J.}, TITLE = {Will we ever classify simply-connected smooth 4-manifolds?}, BOOKTITLE = {Floer homology, gauge theory, and low-dimensional topology}, SERIES = {Clay Math. Proc.}, VOLUME = {5}, PAGES = {225--239}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {2006}, MRCLASS = {57R55 (14J80 57R57)}, MRNUMBER = {2249255 (2007f:57060)}, MRREVIEWER = {Timothy Perutz}, } @article {MR96d:57033, AUTHOR = {Stipsicz, Andr{\'a}s and Szab{\'o}, Zolt{\'a}n}, TITLE = {The smooth classification of elliptic surfaces with $b\sp +>1$}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {75}, YEAR = {1994}, NUMBER = {1}, PAGES = {1--50}, ISSN = {0012-7094}, CODEN = {DUMJAO}, } @incollection {MR96a:57044, AUTHOR = {Stipsicz, Andr{\'a}s and Szab{\'o}, Zolt{\'a}n}, TITLE = {Floer homology groups of certain algebraic links}, BOOKTITLE = {Low-dimensional topology (Knoxville, TN, 1992)}, PAGES = {173--185}, SERIES = {Conf. Proc. Lecture Notes Geom. Topology, III}, PUBLISHER = {Internat. Press}, ADDRESS = {Cambridge, MA}, YEAR = {1994}, } @article {MR95a:57041, AUTHOR = {Stipsicz, Andr{\'a}s and Szab{\'o}, Zolt{\'a}n}, TITLE = {Classification of complex surfaces}, JOURNAL = {Turkish J. Math.}, FJOURNAL = {Turkish Journal of Mathematics}, VOLUME = {18}, YEAR = {1994}, NUMBER = {1}, PAGES = {42--52}, } @article {stolz:spectral, AUTHOR = {Stolz, Stephan}, TITLE = {Exotic structures on {$4$}-manifolds detected by spectral invariants}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {94}, YEAR = {1988}, NUMBER = {1}, PAGES = {147--162}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {57R55 (57R85 58G25)}, MRNUMBER = {MR958593 (89j:57027)}, MRREVIEWER = {J{\"u}rgen Eichhorn}, } @article {stolz:psc, AUTHOR = {Stolz, Stephan}, TITLE = {Simply connected manifolds of positive scalar curvature}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {136}, YEAR = {1992}, NUMBER = {3}, PAGES = {511--540}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {57R15 (53C21 55T15 57R90)}, MRNUMBER = {93i:57033}, MRREVIEWER = {Jonathan M. Rosenberg}, } @incollection{stoltzfus:isometries, author = "Stoltzfus, N.", title = "Isometries of inner product spaces and their geometric applications", booktitle = "Geometric Topology", editor = "Cantrell, J.C.", publisher = "Academic Press", address = "New York", year = "1979"} @article {stong:splitting, AUTHOR = {Stong, Richard}, TITLE = {A structure theorem and a splitting theorem for simply-connected smooth {$4$}-manifolds}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {2}, YEAR = {1995}, NUMBER = {4}, PAGES = {497--503}, ISSN = {1073-2780}, MRCLASS = {57N13 (57R65)}, MRNUMBER = {96g:57023}, MRREVIEWER = {Terry Lawson}, } @article {suciu:spun, AUTHOR = {Suciu, Alexander I.}, TITLE = {The oriented homotopy type of spun $3$-manifolds}, JOURNAL = {Pacific J. Math.}, FJOURNAL = {Pacific Journal of Mathematics}, VOLUME = {131}, YEAR = {1988}, NUMBER = {2}, PAGES = {393--399}, ISSN = {0030-8730}, CODEN = {PJMAAI}, MRCLASS = {57N13 (55P15 57M99)}, MRNUMBER = {89d:57020}, MRREVIEWER = {Cameron McA. Gordon}, } @incollection {sullivan:hauptvermutung, AUTHOR = {Sullivan, D. P.}, TITLE = {Triangulating and smoothing homotopy equivalences and homeomorphisms. {G}eometric {T}opology {S}eminar {N}otes}, BOOKTITLE = {The Hauptvermutung book}, SERIES = {$K$-Monogr. Math.}, VOLUME = {1}, PAGES = {69--103}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Dordrecht}, YEAR = {1996}, MRCLASS = {57Q15 (57Q25 57R10)}, MRNUMBER = {MR1434103 (98c:57027)}, MRREVIEWER = {Oliver Attie}, } @book {sullivan:gt, AUTHOR = {Sullivan, Dennis P.}, TITLE = {Geometric topology: localization, periodicity and {G}alois symmetry}, SERIES = {$K$-Monographs in Mathematics}, VOLUME = {8}, NOTE = {The 1970 MIT notes, Edited and with a preface by Andrew Ranicki}, PUBLISHER = {Springer}, ADDRESS = {Dordrecht}, YEAR = {2005}, PAGES = {xiv+283}, ISBN = {978-1-4020-3511-1; 1-4020-3511-X}, MRCLASS = {55Nxx (14F35 55Pxx 55Rxx 57Mxx)}, MRNUMBER = {MR2162361}, } @article{sullivan:fibering, author = "Sullivan, D.", title = "Travaux de {Thurston} sur les groupes quasifuchsiens et les variet\'{e}s hyperboliques de dimension 3 fibr\'{e}es sur {$S^{1}$}", journal = "Sem.\ Bourbaki", volume = 554, year = 1980} @incollection{sumners:inv1, author = "Sumners, D.", title = "Invertible knot cobordisms", booktitle = "Topology of Manifolds", editor = "Cantrell, J.C. and Edwards, C.H.", publisher = "Markham", year = 1970, pages = "200--204"} @article{sumners:inv2, author = "Sumners, D.", title = "Invertible knot cobordisms", journal = comm, volume = 46, year = 1971, pages = "240--256"} @article{sunada, author = "Sunada, T.", title = "Riemannian coverings and isospectral manifolds", journal = annals, volume = 121, pages = "169--186", year = 1985} @article{swarup, author = "Swarup, G.A.", title = "On a theorem of {C.~B.~Thomas}", journal = jlms, volume = 8, year = 1974, pages = "13--21"} @Unpublished{swjoint, author = "Fintushel, R. and Kronheimer, P. and Mrowka, T.and Stern, R. and Taubes, C.", title = "{Seiberg-Witten} Theory", note = "to appear", year = "1995"} @article {szymik:cohomotopy-families, AUTHOR = {Szymik, Markus}, TITLE = {Characteristic cohomotopy classes for families of 4-manifolds}, JOURNAL = {Forum Math.}, FJOURNAL = {Forum Mathematicum}, VOLUME = {22}, YEAR = {2010}, NUMBER = {3}, PAGES = {509--523}, ISSN = {0933-7741}, CODEN = {FOMAEF}, MRCLASS = {57R57 (57R20 57R70)}, MRNUMBER = {2652709}, DOI = {10.1515/FORUM.2010.027}, URL = {http://dx.doi.org/10.1515/FORUM.2010.027}, } @unpublished{taubes:blowup, author = "Taubes, C.", note = "Fall 1993", title = "Lectures on {Floer} homology at {Harvard} "} @article{taubes:casson, author = "Taubes, C.", title = "Casson's invariant and gauge theory", journal = jdg, volume = 31, year = "1990", pages = "547--599"} @article{taubes:definite, author = "Taubes, C.", title = "Self-dual connections on non-self-dual manifolds", journal = jdg, volume = 17, year = 1982, pages = "139--170"} @article{taubes:indefinite, author = "Taubes, C.", title = "Self-dual connections on manifolds with indefinite intersection matrix", journal = jdg, volume = 19, year = 1984, pages = "517--560"} @book{taubes:l2, author = "Taubes, C.", title = "{$L^2$}--moduli spaces on $4$--manifolds with cylindrical ends", year = 1994, series = "Monographs in Geometry and Topology", volume = 1, publisher = "International Press"} @article{taubes:periodic, author = "Taubes, C.", title = "Gauge theory on asymptotically periodic 4-manifolds", journal = jdg, volume = 25, year = 1987, pages = "363--430"} @article {taubes:sw-symplectic, AUTHOR = {Taubes, Clifford Henry}, TITLE = {The {S}eiberg-{W}itten invariants and symplectic forms}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {1}, YEAR = {1994}, NUMBER = {6}, PAGES = {809--822}, ISSN = {1073-2780}, MRCLASS = {57R57 (57N13 57R15)}, MRNUMBER = {MR1306023 (95j:57039)}, MRREVIEWER = {Jim A. Bryan}, } @article {taubes:sw-constraints, AUTHOR = {Taubes, Clifford Henry}, TITLE = {More constraints on symplectic forms from {S}eiberg-{W}itten invariants}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {2}, YEAR = {1995}, NUMBER = {1}, PAGES = {9--13}, ISSN = {1073-2780}, MRCLASS = {57R57 (57N13 57R15 58D29)}, MRNUMBER = {MR1312973 (96a:57075)}, MRREVIEWER = {Jim A. Bryan}, } @article {taubes:swgromov, AUTHOR = {Taubes, Clifford Henry}, TITLE = {The {S}eiberg-{W}itten and {G}romov invariants}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {2}, YEAR = {1995}, NUMBER = {2}, PAGES = {221--238}, ISSN = {1073-2780}, MRCLASS = {57R57 (57R15 58D15 58D29)}, MRNUMBER = {MR1324704 (96a:57076)}, MRREVIEWER = {Jim A. Bryan}, } @article {taubes:sw-gr, AUTHOR = {Taubes, Clifford H.}, TITLE = {{${\rm SW}\Rightarrow{\rm Gr}$}: from the {S}eiberg-{W}itten equations to pseudo-holomorphic curves}, JOURNAL = {J. Amer. Math. Soc.}, FJOURNAL = {Journal of the American Mathematical Society}, VOLUME = {9}, YEAR = {1996}, NUMBER = {3}, PAGES = {845--918}, ISSN = {0894-0347}, MRCLASS = {57R57 (53C15 58D10 58D27 58G30)}, MRNUMBER = {MR1362874 (97a:57033)}, MRREVIEWER = {Dietmar A. Salamon}, DOI = {10.1090/S0894-0347-96-00211-1}, URL = {http://dx.doi.org/10.1090/S0894-0347-96-00211-1}, } @article {taubes:counting, AUTHOR = {Taubes, Clifford Henry}, TITLE = {Counting pseudo-holomorphic submanifolds in dimension {$4$}}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {44}, YEAR = {1996}, NUMBER = {4}, PAGES = {818--893}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {58D10 (57N13 57R15 57R57 58D27 58D29)}, MRNUMBER = {MR1438194 (97k:58029)}, MRREVIEWER = {Thomas H. Parker}, URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1214459411}, } @article {taubes:gr-sw, AUTHOR = {Taubes, Clifford Henry}, TITLE = {{${\rm Gr}\Longrightarrow{\rm SW}$}: from pseudo-holomorphic curves to {S}eiberg-{W}itten solutions}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {51}, YEAR = {1999}, NUMBER = {2}, PAGES = {203--334}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {53D45 (57R57)}, MRNUMBER = {MR1728301 (2000i:53123)}, MRREVIEWER = {Ignasi Mundet-Riera}, URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1214425068}, } @article {taubes:gr=sw, AUTHOR = {Taubes, Clifford Henry}, TITLE = {{${\rm GR}={\rm SW}$}: counting curves and connections}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {52}, YEAR = {1999}, NUMBER = {3}, PAGES = {453--609}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {53D45 (53D35 57R17 57R57)}, MRNUMBER = {MR1761081 (2002i:53119)}, MRREVIEWER = {Yi-Jen Lee}, URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1214425348}, } @article {taubes:spectral-flow, AUTHOR = {Taubes, Clifford Henry}, TITLE = {Asymptotic spectral flow for {D}irac operators}, JOURNAL = {Comm. Anal. Geom.}, FJOURNAL = {Communications in Analysis and Geometry}, VOLUME = {15}, YEAR = {2007}, NUMBER = {3}, PAGES = {569--587}, ISSN = {1019-8385}, MRCLASS = {58J30}, MRNUMBER = {2379805 (2009a:58025)}, MRREVIEWER = {Yuri A. Kordyukov}, URL = {http://projecteuclid.org/getRecord?id=euclid.cag/1201269329}, } @incollection {taylor-williams:spaces, AUTHOR = {Taylor, Laurence and Williams, Bruce}, TITLE = {Surgery spaces: formulae and structure}, BOOKTITLE = {Algebraic topology, Waterloo, 1978 (Proc. Conf., Univ. Waterloo, Waterloo, Ont., 1978)}, SERIES = {Lecture Notes in Math.}, VOLUME = {741}, PAGES = {170--195}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1979}, MRCLASS = {57R67}, MRNUMBER = {MR557167 (81k:57034)}, MRREVIEWER = {Ian Hambleton}, } @article {teleman:pu2, AUTHOR = {Teleman, Andrei}, TITLE = {Moduli spaces of {${\rm PU}(2)$}-monopoles}, JOURNAL = {Asian J. Math.}, FJOURNAL = {The Asian Journal of Mathematics}, VOLUME = {4}, YEAR = {2000}, NUMBER = {2}, PAGES = {391--435}, ISSN = {1093-6106}, MRCLASS = {57R57 (58D27 58J05)}, MRNUMBER = {MR1797591 (2001m:57059)}, MRREVIEWER = {Liviu I. Nicolaescu}, } @article {teleman:classVII, AUTHOR = {Teleman, Andrei}, TITLE = {Donaldson theory on non-{K}\"ahlerian surfaces and class {VII} surfaces with {$b\sb 2=1$}}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {162}, YEAR = {2005}, NUMBER = {3}, PAGES = {493--521}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {32J15 (57R57)}, MRNUMBER = {MR2198220 (2006i:32020)}, MRREVIEWER = {Vicente Mu{\~n}oz}, } @article{teleman:classVII-curves, AUTHOR = {Teleman, Andrei}, TITLE = {Instantons and curves on class {VII} surfaces}, note = {http://www.arxiv.org/abs/0704.2634}, journal= annals, volume = 172, number = {3}, PAGES = {1749--1804}, year = {2010} } @article {teleman:definite, AUTHOR = {Teleman, Andrei}, TITLE = {Harmonic sections in sphere bundles, normal neighborhoods of reduction loci, and instanton moduli spaces on definite 4-manifolds}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry \& Topology}, VOLUME = {11}, YEAR = {2007}, PAGES = {1681--1730}, MRCLASS = {57R57 (53C07 58D27)}, MRNUMBER = {MR2350464 (2008g:57036)}, MRREVIEWER = {Vicente Mu{\~n}oz}, } @incollection {teleman:non-kahler, AUTHOR = {Teleman, Andrei}, TITLE = {Gauge theoretical methods in the classification of non-{K}\"ahlerian surfaces}, BOOKTITLE = {Algebraic topology---old and new}, SERIES = {Banach Center Publ.}, VOLUME = {85}, PAGES = {109--120}, PUBLISHER = {Polish Acad. Sci. Inst. Math., Warsaw}, YEAR = {2009}, MRCLASS = {32Q57 (32J15 57R57)}, MRNUMBER = {2503522 (2010d:32026)}, MRREVIEWER = {Antonella Nannicini}, DOI = {10.4064/bc85-0-8}, URL = {http://dx.doi.org/10.4064/bc85-0-8}, } @book{thomas:elliptic, author = "Thomas, C.B.", TITLE ="Elliptic structures on {$3$-spheres}", SERIES = {London Math. Soc. Lecture Note Ser.}, VOLUME = {104}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {1986} } @article{thomas:homotopy, author = "Thomas, C.B.", title = "The oriented homotopy type of compact 3-manifolds", journal = plms, volume = 19, year = 1969, pages = "31--44"} @article{thurston:bulletin, author = "Thurston, W.", title = "Three-dimensional manifolds, {Kleinian} groups, and hyperbolic geometry", journal = bams, volume = 6, year = 1982, pages = "357--381"} @unpublished{thurston:hyperbolic-II, author = "Thurston, W.", title = "Hyperbolic structures on 3-manifolds, {II}: {Surface} groups and 3-manifolds which fiber over the circle", note = "Preprint", year = 1986} @unpublished{thurston:notes, author = "Thurston, W.", title = "The geometry and topology of 3-manifolds", year = 1977, note = "(Princeton University)"} @article{thurston:surfaces, author = "Fathi,A. and Laudenbach,F. and Po\'{e}naru,V.", title = "Travaux de {Thurston} sur les Surfaces", journal = ast, year = 1979, volume = "{66--67}"} @article{trace, author = "Trace, B.", title = "A note concerning possible {Seifert} manifolds of a 2-knot", journal = camb, volume = 100, pages = "113--116", year = 1986} @article {tristram, AUTHOR = {Tristram, A. G.}, TITLE = {Some cobordism invariants for links}, JOURNAL = {Proc. Cambridge Philos. Soc.}, VOLUME = {66}, YEAR = {1969}, PAGES = {251--264}, MRCLASS = {57.01 (55.00)}, MRNUMBER = {40 \#2104}, MRREVIEWER = {H. E. Debrunner}, } @article {turaev:linking, AUTHOR = {Turaev, V. G.}, TITLE = {Cohomology rings, linking coefficient forms and invariants of spin structures in three-dimensional manifolds}, JOURNAL = {Mat. Sb. (N.S.)}, FJOURNAL = {Matematicheski\u\i\ Sbornik. Novaya Seriya}, VOLUME = {120(162)}, YEAR = {1983}, NUMBER = {1}, PAGES = {68--83, 143}, ISSN = {0368-8666}, MRCLASS = {57N10 (57Q10 57R15 57R19 57S17)}, MRNUMBER = {84g:57009}, MRREVIEWER = {W. D. Neumann}, } @book {turaev:torsion-3mfd, AUTHOR = {Turaev, Vladimir}, TITLE = {Torsions of {$3$}-dimensional manifolds}, SERIES = {Progress in Mathematics}, VOLUME = {208}, PUBLISHER = {Birkh\"auser Verlag}, ADDRESS = {Basel}, YEAR = {2002}, PAGES = {x+196}, ISBN = {3-7643-6911-6}, MRCLASS = {57M25 (55N25 57M27 57N10 57R15 57R19 57R57)}, MRNUMBER = {MR1958479 (2003m:57028)}, MRREVIEWER = {Liviu I. Nicolaescu}, } @book {turaev:combinatorial-torsion, AUTHOR = {Turaev, Vladimir}, TITLE = {Introduction to combinatorial torsions}, SERIES = {Lectures in Mathematics ETH Z\"urich}, NOTE = {Notes taken by Felix Schlenk}, PUBLISHER = {Birkh\"auser Verlag}, ADDRESS = {Basel}, YEAR = {2001}, PAGES = {viii+123}, ISBN = {3-7643-6403-3}, MRCLASS = {57Q10 (19J10 57M27)}, MRNUMBER = {MR1809561 (2001m:57042)}, MRREVIEWER = {Joan Porti}, } @article{uhlenbeck:lp-bounds, author = "Uhlenbeck, K.", title = "Connections with {$L^p$}-bounds on curvature", journal = cmp, volume = 83, year = 1982, pages = "31--42"} @article{uhlenbeck:removable, author = "Uhlenbeck, K.", title = "Removable singularites in {Yang--Mills} fields", journal = cmp, volume = 83, year = 1982, pages = "11--30"} @misc{vancott:bing, AUTHOR = {van Cott, Cornelia}, TITLE = {An obstruction to slicing iterated {Bing} doubles}, year = 2009, url = {http://arxiv.org/abs/0907.4948v1}, note = {http://arxiv.org/abs/0907.4948v1} } @article {vidussi:lagrangian-tori, AUTHOR = {Vidussi, Stefano}, TITLE = {Lagrangian surfaces in a fixed homology class: existence of knotted {L}agrangian tori}, JOURNAL = {J. Differential Geom.}, FJOURNAL = {Journal of Differential Geometry}, VOLUME = {74}, YEAR = {2006}, NUMBER = {3}, PAGES = {507--522}, ISSN = {0022-040X}, CODEN = {JDGEAS}, MRCLASS = {57R17 (53D12 53D35 57R57)}, MRNUMBER = {2269786 (2007i:57024)}, MRREVIEWER = {Tolga Etg{\"u}}, URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1175266235}, } @article{waldhausen:sufficiently-large, author = "Waldhausen, F.", title = "On irreducible 3-manifolds which are sufficiently large", journal = annals, volume = 87, pages = "56-88", year = 1968} @book {walker:casson, AUTHOR = {Walker, Kevin}, TITLE = {An extension of {C}asson's invariant}, SERIES = {Annals of Mathematics Studies}, VOLUME = {126}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, NJ}, YEAR = {1992}, PAGES = {vi+131}, ISBN = {0-691-08766-0; 0-691-02532-0}, MRCLASS = {57N10 (11F20 57M25 57R99)}, MRNUMBER = {93e:57031}, MRREVIEWER = {Christine Lescop}, } @article {viro:links, AUTHOR = {Viro, O. Ja.}, TITLE = {Branched coverings of manifolds with boundary, and invariants of links. {I}}, JOURNAL = {Math. USSR-Izvestia}, VOLUME = {7}, YEAR = {1975}, PAGES = {1239--1256}, MRCLASS = {57C45}, MRNUMBER = {51 \#6832}, MRREVIEWER = {O. Krotenheerdt}, } @article{wall:4-manifolds, author = {Wall, C. T. C.}, title = "On simply connected 4-manifolds", journal = jlms, volume = 39, year = 1964, pages = "141--149"} @article{wall:automorphisms, author = {Wall, C. T. C.}, title = "On the orthogonal group of unimodular quadratic forms", journal = annalen, year = 1962, volume = 147, pages = "328--338"} @book{wall:book, author = {Wall, C. T. C.}, title = "Surgery on Compact Manifolds", publisher = "Academic Press", year = 1970, address = "New York"} @article{wall:diffeomorphisms, author = {Wall, C. T. C.}, title = "Diffeomorphisms of 4-manifolds", journal = jlms, volume = 39, year = 1964, pages = "131--140"} @article{wall:non-additivity, author = {Wall, C. T. C.}, title = "Non-additivity of the signature", journal = invent, volume = 7, pages = "269-274", year = 1969} @article {wang:involution, AUTHOR = {Wang, Shuguang}, TITLE = {Moduli spaces over manifolds with involutions}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {296}, YEAR = {1993}, NUMBER = {1}, PAGES = {119--138}, ISSN = {0025-5831}, CODEN = {MAANA}, MRCLASS = {58D27 (14D20 53C07 57R57 58G05)}, MRNUMBER = {94b:58023}, MRREVIEWER = {Antony Maciocia}, } @article {wang:vanishing, AUTHOR = {Wang, Shuguang}, TITLE = {A vanishing theorem for {S}eiberg-{W}itten invariants}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {2}, YEAR = {1995}, NUMBER = {3}, PAGES = {305--310}, ISSN = {1073-2780}, MRCLASS = {57R55 (32J27 57N13 57R57)}, MRNUMBER = {96c:57056}, MRREVIEWER = {Stefan A. Bauer}, } @article{wang:swfloer, author = "Wang, B.L.", title= "{Seiberg-Witten-Floer theory for homology $3$-spheres}", year = 1996, note = "Preprint dg-ga/9602003"} @article{weinberger:eta, author = "Weinberger, S.", title = "Homotopy invariance of {$\eta$-invariants}", journal = pnas, volume = 85, year = 1988, pages = "5362--5363"} @article{weinberger:non-fibering, author = "Weinberger, S.", title = "On fibering four- and five-dimensional manifolds", journal = isr, volume = 59, pages = "1--7", year = 1987} @article{witten:monopole, author = "Witten, E.", title = "Monopoles and four-manifolds", journal = "Math.\ Res.\ Lett.", volume = 1, number = 6, pages = "769--796", year = 1994} @book{wolf:space-form, author = "Wolf, J.", title = "Spaces of Constant Curvature", publisher = "McGraw Hill", year = 1967, address = "New York"} @book {xu:thesis, AUTHOR = {Xu, Ming}, TITLE = {The {B}auer-{F}uruta invariant and a cohomotopy refined {R}uberman invariant}, NOTE = {Thesis (Ph.D.)--State University of New York at Stony Brook}, PUBLISHER = {ProQuest LLC, Ann Arbor, MI}, YEAR = {2004}, PAGES = {69}, ISBN = {978-0496-06957-6}, MRCLASS = {Thesis}, MRNUMBER = {2706507}, URL = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3148540}, } @article{yoshida, author = "Yoshida, T.", title = "The $\eta$-invariant of hyperbolic 3-manifolds", journal = invent, year = 1985, volume = 81, pages = "473--514"} @article {MR98d:57058, AUTHOR = {Szab{\'o}, Zolt{\'a}n}, TITLE = {On irreducible simply-connected $4$-manifolds}, JOURNAL = {Turkish J. Math.}, FJOURNAL = {Turkish Journal of Mathematics}, VOLUME = {21}, YEAR = {1997}, NUMBER = {1}, PAGES = {41--46}, ISSN = {1300-0098}, } @article {MR97j:57049, AUTHOR = {Szab{\'o}, Zolt{\'a}n}, TITLE = {Exotic $4$-manifolds with $b\sp +\sb 2=1$}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {3}, YEAR = {1996}, NUMBER = {6}, PAGES = {731--741}, ISSN = {1073-2780}, } @article {MR97c:57021, AUTHOR = {Szab{\'o}, Zolt{\'a}n}, TITLE = {Irreducible four-manifolds with small {E}uler characteristics}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {35}, YEAR = {1996}, NUMBER = {2}, PAGES = {411--426}, ISSN = {0040-9383}, CODEN = {TPLGAF}, } @book{zagier:orbit, author = "Zagier, D.", title = " Equivariant Pontrjagin Classes and Applications to Orbit Spaces", series = lnm, publisher = "Springer--Verlag", address = " New York", volume = 290, year = 1972} @article {zeeman:twist, AUTHOR = {Zeeman, E. C.}, TITLE = {Twisting spun knots}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {115}, YEAR = {1965}, PAGES = {471--495}, ISSN = {0002-9947}, MRCLASS = {55.20}, MRNUMBER = {MR0195085 (33 \#3290)}, MRREVIEWER = {L. Neuwirth}, }