@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{ 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" } @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}, } @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}, } @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: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: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: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: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}, } @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: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}, } @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"} @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: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}, } @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: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: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{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} @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"} @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{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{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"} @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{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{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{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: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: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: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: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}, } @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{ruberman:casson, author = "Ruberman, D.", title = "On the homotopy invariance of {Casson's} invariant", note = "unpublished manuscript", year = 1992}