Papers by Daniel Ruberman

This table is a bit out of date; I hope to update it someday, but for the moment the best access to my recent papers is via the math arxiv. I will leave the table up for now, since it has links to some articles that are not as readily available.

The table at the top lists all of my papers which are currently available on the web. A highlighted title indicates that the paper is available, in published form, from the journal. You can also obtain the papers in various other formats, by clicking on the `bullet' in the appropriate box. All of my published papers which are not available, are listed below the table. I keep all the references to these papers in a single BibTeX file which has about 700 entries. If you want to cite one of my papers, here is a bibliography in BibTeX format.




Available papers
Title	Postscript	Postscript (gzipped)	PDF	(La)TeX source	Archive
Topologically slice knots with nontrivial Alexander polynomial (with Matt Hedden and Chuck Livingston).
Seiberg-Witten equations, end-periodic Dirac operators, and a lift of Rohlin's invariant (with Tomasz Mrowka and Nikolai Saveliev).
Smooth surfaces with non-simply-connected complements (with Hee Jung Kim).
Dirac operators on manifolds with periodic ends (with Nikolai Saveliev). J. Gökova Geom. Topol. GGT 1 (2007), 33-50.
Knot concordance and Heegaard Floer homology invariants in branched covers (with J. Elisenda Grigsby and Saso Strle). Geometry & Topology 12 (2008) 2249–2275.
Algebraic and Heegaard-Floer invariants of knots with slice Bing doubles (with Chuck Livingston and Jae Choon Cha). Math. Proc. Cambridge Philos. Soc. 144 (2008), no. 2, 403--410.
Topological triviality of smoothly knotted surfaces in 4-manifolds (with Hee Jung Kim). Trans. Amer. Math. Soc. 360 (2008) 5869-5881
Casson--type invariants in dimension four (with Nikolai Saveliev). Geometry and topology of manifolds, 281--306, Fields Inst. Commun., 47, Amer. Math. Soc., Providence, RI, 2005.
Rohlin's invariant and gauge theory III. Homology 4-tori (with Nikolai Saveliev). Geometry & Topology 9 (2005) 2079–2127.
Rohlin's invariant and gauge theory II. Mapping tori (with Nikolai Saveliev). Geometry and Topology, 8 (2004) Paper no. 2, pages 35--76.
Rohlin's invariant and gauge theory I. Homology 3-tori (with Nikolai Saveliev). Commentarii Math. Helv., 79 (2004), no. 3, 618--646.
The Seiberg-Witten invariants of manifolds with wells of negative curvature
Positive scalar curvature, diffeomorphisms, and the Seiberg--Witten invariants. Geometry and Topology 5 (2001), 895-124.
Mod 2 Seiberg-Witten invariants of homology tori (with Saso Strle). Math. Res. Lett. 7 (2000), no. 5-6, 789--800.
A polynomial invariant of diffeomorphisms of 4-manifolds. Geometry and Topology Monographs 2 (1999), Proceedings of the Kirbyfest, 473-488.
Embedding tangles in links. J. Knot Theory Ramifications 9 (2000), no.4, 523--530.
Isospectrality and 3-manifold groups. Proc. AMS, 129 (2001), 2467-2471
Mutation and Gauge Theory, I: Yang-Mills Invariants. Comm. Math. Helv., 74 (1999), no. 4, 615--641.
An obstruction to smooth isotopy in dimension 4. Math. Res. Lett. 5 (1998), no. 6, 743--758.
A fake CP2 # RP4 (with R. Stern). Math. Res. Lett. 4 (1997), 375--378.
Null-homotopic embedded spheres of codimension one. Note In Tight and Taut Submanifolds, Thomas E. Cecil and Shiing-shen Chern, eds., MSRI Publications 32 (1997), Cambridge University Press.
A sextic surface cannot have 66 nodes (with D. Jaffe). Note J. Alg. Geom., 6 (1997), 151-168.



• The minimal genus of an embedded surface of non-negative square in a rational surface. Turkish J. Math. 20 (1996), 129-135.

• Relations among Donaldson invariants arising from negative 2-spheres and tori. Duke Math. J. 83 (1996) 645-660.

• Configurations of 2-spheres in the K3 surface and other 4-manifolds. Math. Proc. Camb. Phil. Soc. 120 (1996), 247-253.

• Involutions on spin 4-manifolds. Proc. Amer. Math. Soc. 123 (1995), 593-596.

• Splitting the spectral flow, and the Alexander matrix. (with P. Kirk and E. Klassen), Comm. Math. Helv. 69 (1994), 375-416.

• The L² Moduli Space and a Vanishing Theorem for Donaldson's Polynomial Invariants.
  (with J. Morgan and T. Mrowka) Monographs in Geometry and Topology, International Press (1994).

• Smooth 2-spheres in homology K3 surfaces. Topology and its Applications, 59 (1994), 87-99.

• Homology and bounded homology of universal covers. (Appendix to "Manifolds with wells of negative Ricci curvature", by S. Rosenberg and K.D. Elworthy), Invent. Math. 103 (1991), 491-496.

• Seifert surfaces of knots in S⁴. Pacific J. Math., 145 (1990), 97-116.

• Cutting and pasting the eta-invariant. (with R. Meyerhoff) Duke Math. J. 61 (1990), 747-762.

• Mutation and the eta-invariant. (with R. Meyerhoff) Jour. Diff. Geo., 31 (1990), 101-130.

• Invariants of tangles. (with T. Cochran) Math. Proc. Camb. Phil. Soc. 105 (1989), 299-306.

• The Casson-Gordon invariants in high-dimensional knot theory. Trans. Amer. Math. Soc. 306 (1988), 579-595.

• Rational homology cobordisms of rational space forms. Topology 27 (1988), 401-414.

• Mutation and volumes of knots in S³. Invent. Math. 90 (1987), 189-215.

• Imbeddings and homology cobordisms of lens spaces. (with S. Cappell) Comm. Math. Helv., 63 (1988), 75-89.

• Invariant knots of free involutions of S⁴. Top. Appl. 18 (1984), 217-224.

• Concordance of links in S⁴. Contemporary Math. 35 (Four Manifold theory) (1984), 481-483.

• Imbedding punctured lens spaces and connected sums. Pacific J. Math. 279 (1983), 569-588.

• Doubly slice knots and the Casson-Gordon invariants. Trans. Amer. Math. Soc. 279 (1983), 569-588.

• Imbedding 4-manifolds and slicing links. Proc. Camb. Phil. Soc. 91 (1982), 107-110.
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Last updated: August 26, 2011