Volume 9, issue 4 (2005)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 27
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Rohlin's invariant and gauge theory III. Homology 4–tori

Daniel Ruberman and Nikolai Saveliev

Geometry & Topology 9 (2005) 2079–2127
Bibliography
1 P J Braam, S K Donaldson, Floer's work on instanton homology, knots and surgery, from: "The Floer memorial volume", Progr. Math. 133, Birkhäuser (1995) 195 MR1362829
2 K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1994) MR1324339
3 S E Cappell, R Lee, E Y Miller, Self-adjoint elliptic operators and manifold decompositions III: Determinant line bundles and Lagrangian intersection, Comm. Pure Appl. Math. 52 (1999) 543 MR1670052
4 S K Donaldson, An application of gauge theory to four-dimensional topology, J. Differential Geom. 18 (1983) 279 MR710056
5 S K Donaldson, The orientation of Yang–Mills moduli spaces and 4–manifold topology, J. Differential Geom. 26 (1987) 397 MR910015
6 S K Donaldson, Floer homology groups in Yang–Mills theory, Cambridge Tracts in Mathematics 147, Cambridge University Press (2002) MR1883043
7 A Floer, An instanton-invariant for 3–manifolds, Comm. Math. Phys. 118 (1988) 215 MR956166
8 M Furuta, Perturbation of moduli spaces of self-dual connections, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987) 275 MR914023
9 M Furuta, H Ohta, Differentiable structures on punctured 4–manifolds, Topology Appl. 51 (1993) 291 MR1237394
10 R E Gompf, T S Mrowka, Irreducible 4–manifolds need not be complex, Ann. of Math. $(2)$ 138 (1993) 61 MR1230927
11 C M Herald, Legendrian cobordism and Chern–Simons theory on 3–manifolds with boundary, Comm. Anal. Geom. 2 (1994) 337 MR1305710
12 J Milnor, D Husemoller, Symmetric bilinear forms, Ergebnisse der Mathematik und ihrer Grenzgebiete 73, Springer (1973) MR0506372
13 S J Kaplan, Constructing framed 4–manifolds with given almost framed boundaries, Trans. Amer. Math. Soc. 254 (1979) 237 MR539917
14 P B Kronheimer, Four-manifold invariants from higher-rank bundles, J. Differential Geom. 70 (2005) 59 MR2192061
15 P B Kronheimer, Instanton invariants and flat connections on the Kummer surface, Duke Math. J. 64 (1991) 229 MR1136374
16 E Laitinen, End homology and duality, Forum Math. 8 (1996) 121 MR1366538
17 C Lescop, Global surgery formula for the Casson–Walker invariant, Annals of Mathematics Studies 140, Princeton University Press (1996) MR1372947
18 K Masataka, Casson's knot invariant and gauge theory, Topology Appl. 112 (2001) 111 MR1823600
19 J W Milnor, Infinite cyclic coverings, from: "Conference on the Topology of Manifolds (Michigan State Univ., E. Lansing, Mich., 1967)", Prindle, Weber & Schmidt, Boston (1968) 115 MR0242163
20 L Pontrjagin, Mappings of the three-dimensional sphere into an $n$–dimensional complex, C. R. $($Doklady$)$ Acad. Sci. URSS $($N. S.$)$ 34 (1942) 35 MR0008135
21 D Ruberman, Doubly slice knots and the Casson–Gordon invariants, Trans. Amer. Math. Soc. 279 (1983) 569 MR709569
22 D Ruberman, N Saveliev, Rohlin's invariant and gauge theory I: Homology 3–tori, Comment. Math. Helv. 79 (2004) 618 MR2081729
23 D Ruberman, N Saveliev, Rohlin's invariant and gauge theory II: Mapping tori, Geom. Topol. 8 (2004) 35 MR2033479
24 D Ruberman, N Saveliev, Casson-type invariants in dimension four, from: "Geometry and topology of manifolds", Fields Inst. Commun. 47, Amer. Math. Soc. (2005) 281 MR2189939
25 D Ruberman, S Strle, Mod 2 Seiberg–Witten invariants of homology tori, Math. Res. Lett. 7 (2000) 789 MR1809302
26 C H Taubes, Gauge theory on asymptotically periodic 4–manifolds, J. Differential Geom. 25 (1987) 363 MR882829
27 C H Taubes, Casson's invariant and gauge theory, J. Differential Geom. 31 (1990) 547 MR1037415
28 V G Turaev, Cohomology rings, linking coefficient forms and invariants of spin structures in three-dimensional manifolds, Mat. Sb. $($N.S.$)$ 120(162) (1983) 68, 143 MR687337
29 K K Uhlenbeck, Connections with $L^{p}$ bounds on curvature, Comm. Math. Phys. 83 (1982) 31 MR648356
30 E Witten, Monopoles and four-manifolds, Math. Res. Lett. 1 (1994) 769 MR1306021