Volume 22, issue 5 (2018)

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

Volume 25
Issue 6, 2713–3256
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546

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
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
A splitting theorem for the Seiberg-Witten invariant of a homology $S^1 \times S^3$

Jianfeng Lin, Daniel Ruberman and Nikolai Saveliev

Geometry & Topology 22 (2018) 2865–2942
Bibliography
1 B Ammann, M Dahl, E Humbert, Surgery and harmonic spinors, Adv. Math. 220 (2009) 523 MR2466425
2 M F Atiyah, V K Patodi, I M Singer, Spectral asymmetry and Riemannian geometry, I, Math. Proc. Cambridge Philos. Soc. 77 (1975) 43 MR0397797
3 J. Baldwin, J. Bloom, The monopole category and invariants of bordered 3–manifolds, in preparation
4 J M Bloom, A link surgery spectral sequence in monopole Floer homology, Adv. Math. 226 (2011) 3216 MR2764887
5 J Bloom, T Mrowka, P Ozsváth, Connected sums in monopole Floer homology, in preparation
6 V Colin, P Ghiggini, K Honda, The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions, I, preprint (2012) arXiv:1208.1074
7 V Colin, P Ghiggini, K Honda, The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions, II, preprint (2012) arXiv:1208.1077
8 V Colin, P Ghiggini, K Honda, The equivalence of Heegaard Floer homology and embedded contact homology, III: From hat to plus, preprint (2012) arXiv:1208.1526
9 D Cristofaro-Gardiner, The absolute gradings on embedded contact homology and Seiberg–Witten Floer cohomology, Algebr. Geom. Topol. 13 (2013) 2239 MR3073915
10 R G Douglas, K P Wojciechowski, Adiabatic limits of the η–invariants : the odd-dimensional Atiyah–Patodi–Singer problem, Comm. Math. Phys. 142 (1991) 139 MR1137777
11 K A Frøyshov, Compactness and gluing theory for monopoles, 15, Geometry & Topology Publications (2008) MR2465077
12 K A Frøyshov, Monopole Floer homology for rational homology 3–spheres, Duke Math. J. 155 (2010) 519 MR2738582
13 Y Fukumoto, M Furuta, M Ue, W–invariants and Neumann–Siebenmann invariants for Seifert homology 3–spheres, Topology Appl. 116 (2001) 333 MR1857670
14 M Furuta, H Ohta, Differentiable structures on punctured 4–manifolds, Topology Appl. 51 (1993) 291 MR1237394
15 P B Gilkey, Invariance theory, the heat equation, and the Atiyah–Singer index theorem, 11, Publish or Perish (1984) MR783634
16 F González-Acuña, Dehn’s construction on knots, Bol. Soc. Mat Mexicana 15 (1970) 58 MR0356022
17 K Hendricks, C Manolescu, Involutive Heegaard Floer homology, Duke Math. J. 166 (2017) 1211 MR3649355
18 K Hendricks, C Manolescu, I Zemke, A connected sum formula for involutive Heegaard Floer homology, Selecta Math. 24 (2018) 1183 MR3782421
19 J Hom, Ç Karakurt, T Lidman, Surgery obstructions and Heegaard Floer homology, Geom. Topol. 20 (2016) 2219 MR3548466
20 Y Huang, V G B Ramos, An absolute grading on Heegaard Floer homology by homotopy classes of oriented 2–plane fields, J. Symplectic Geom. 15 (2017) 51 MR3652073
21 M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
22 M Khovanov, Patterns in knot cohomology, I, Experiment. Math. 12 (2003) 365 MR2034399
23 P Kronheimer, T Mrowka, Monopoles and three-manifolds, 10, Cambridge Univ. Press (2007) MR2388043
24 P Kronheimer, T Mrowka, P Ozsváth, Z Szabó, Monopoles and lens space surgeries, Ann. of Math. 165 (2007) 457 MR2299739
25 C Kutluhan, Y J Lee, C H Taubes, HF = HM, I : Heegaard Floer homology and Seiberg–Witten Floer homology, preprint (2010) arXiv:1007.1979
26 C Kutluhan, Y J Lee, C H Taubes, HF = HM, II : Reeb orbits and holomorphic curves for the ech/Heegaard–Floer correspondence, preprint (2010) arXiv:1008.1595
27 C Kutluhan, Y J Lee, C H Taubes, HF = HM, III : Holomorphic curves and the differential for the ech/Heegaard Floer correspondence, preprint (2010) arXiv:1010.3456
28 C Kutluhan, Y J Lee, C H Taubes, HF = HM, IV : The Seiberg–Witten Floer homology and ech correspondence, preprint (2011) arXiv:1107.2297
29 C Kutluhan, Y J Lee, C H Taubes, HF = HM, V : Seiberg–Witten–Floer homology and handle addition, preprint (2012) arXiv:1204.0115
30 A S Levine, D Ruberman, Heegaard Floer invariants in codimension one, preprint (2016) arXiv:1610.03353
31 A Lichnerowicz, Spineurs harmoniques, C. R. Acad. Sci. Paris 257 (1963) 7 MR0156292
32 F Lin, A Morse–Bott approach to monopole Floer homology and the triangulation conjecture, preprint (2014) arXiv:1404.4561
33 J Lin, The Seiberg–Witten equations on end-periodic manifolds and positive scalar curvature metrics, preprint (2016) arXiv:1603.03698
34 J Lin, D Ruberman, N Saveliev, On the Frøyshov invariant and monopole Lefschetz number, preprint (2018) arXiv:1802.07704
35 S Maier, Generic metrics and connections on Spin- and Spinc–manifolds, Comm. Math. Phys. 188 (1997) 407 MR1471821
36 C Manolescu, A gluing theorem for the relative Bauer–Furuta invariants, J. Differential Geom. 76 (2007) 117 MR2312050
37 C Manolescu, An introduction to knot Floer homology, from: "Physics and mathematics of link homology" (editors M Khovanov, J Walcher), Contemp. Math. 680, Amer. Math. Soc. (2016) 99 MR3591644
38 C Manolescu, Pin(2)–equivariant Seiberg–Witten Floer homology and the triangulation conjecture, J. Amer. Math. Soc. 29 (2016) 147 MR3402697
39 C Manolescu, P Ozsváth, On the Khovanov and knot Floer homologies of quasi-alternating links, from: "Proceedings of Gökova Geometry–Topology Conference 2007" (editors S Akbulut, T Önder, R J Stern), GGT (2008) 60 MR2509750
40 T Mrowka, P Ozsváth, B Yu, Seiberg–Witten monopoles on Seifert fibered spaces, Comm. Anal. Geom. 5 (1997) 685 MR1611061
41 T Mrowka, D Ruberman, N Saveliev, Seiberg–Witten equations, end-periodic Dirac operators, and a lift of Rohlin’s invariant, J. Differential Geom. 88 (2011) 333 MR2838269
42 T Mrowka, D Ruberman, N Saveliev, An index theorem for end-periodic operators, Compos. Math. 152 (2016) 399 MR3462557
43 A Némethi, On the Ozsváth–Szabó invariant of negative definite plumbed 3–manifolds, Geom. Topol. 9 (2005) 991 MR2140997
44 Y Ni, Z Wu, Cosmetic surgeries on knots in S3, J. Reine Angew. Math. 706 (2015) 1 MR3393360
45 P Ozsváth, Z Szabó, Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary, Adv. Math. 173 (2003) 179 MR1957829
46 P Ozsváth, Z Szabó, Heegaard Floer homology and alternating knots, Geom. Topol. 7 (2003) 225 MR1988285
47 P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
48 P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
49 P Ozsváth, Z Szabó, On the Heegaard Floer homology of branched double-covers, Adv. Math. 194 (2005) 1 MR2141852
50 P S Ozsváth, Z Szabó, Knot Floer homology and integer surgeries, Algebr. Geom. Topol. 8 (2008) 101 MR2377279
51 P S Ozsváth, Z Szabó, Knot Floer homology and rational surgeries, Algebr. Geom. Topol. 11 (2011) 1 MR2764036
52 V G B Ramos, Absolute gradings on ECH and Heegaard Floer homology, preprint (2014) arXiv:1403.2875
53 J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) MR2704683
54 D Ruberman, N Saveliev, Rohlin’s invariant and gauge theory, II : Mapping tori, Geom. Topol. 8 (2004) 35 MR2033479
55 D Ruberman, N Saveliev, Casson-type invariants in dimension four, from: "Geometry and topology of manifolds" (editors H U Boden, I Hambleton, A J Nicas, B D Park), Fields Inst. Commun. 47, Amer. Math. Soc. (2005) 281 MR2189939
56 D Ruberman, N Saveliev, Dirac operators on manifolds with periodic ends, J. Gökova Geom. Topol. 1 (2007) 33 MR2386534
57 D Ruberman, N Saveliev, The μ–invariant of Seifert fibered homology spheres and the Dirac operator, Geom. Dedicata 154 (2011) 93 MR2832713
58 N Saveliev, Fukumoto–Furuta invariants of plumbed homology 3–spheres, Pacific J. Math. 205 (2002) 465 MR1922741
59 N Saveliev, Invariants for homology 3–spheres, 140, Springer (2002) MR1941324
60 R Schoen, S T Yau, On the structure of manifolds with positive scalar curvature, Manuscripta Math. 28 (1979) 159 MR535700
61 M Stoffregen, Pin(2)–equivariant Seiberg–Witten Floer homology of Seifert fibrations, preprint (2015) arXiv:1505.03234
62 M Stoffregen, Manolescu invariants of connected sums, Proc. Lond. Math. Soc. 115 (2017) 1072 MR3733559
63 C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, I, Geom. Topol. 14 (2010) 2497 MR2746723
64 E Witten, Monopoles and four-manifolds, Math. Res. Lett. 1 (1994) 769 MR1306021