Geometry & Topology Volume 22, issue 5 (2018)

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Floer homology and covering spaces

Tye Lidman and Ciprian Manolescu

Geometry & Topology 22 (2018) 2817–2838

DOI: 10.2140/gt.2018.22.2817

Bibliography

1	I Agol, The virtual Haken conjecture, Doc. Math. 18 (2013) 1045 MR3104553
2	K L Baker, A H Moore, Montesinos knots, Hopf plumbings, and L-space surgeries, J. Math. Soc. Japan 70 (2018) 95 MR3750269
3	J M Bloom, A link surgery spectral sequence in monopole Floer homology, Adv. Math. 226 (2011) 3216 MR2764887
4	S Boyer, A Clay, Foliations, orders, representations, L-spaces and graph manifolds, Adv. Math. 310 (2017) 159 MR3620687
5	S Boyer, C M Gordon, L Watson, On L-spaces and left-orderable fundamental groups, Math. Ann. 356 (2013) 1213 MR3072799
6	S Boyer, D Rolfsen, B Wiest, Orderable 3–manifold groups, Ann. Inst. Fourier (Grenoble) 55 (2005) 243 MR2141698
7	G E Bredon, Introduction to compact transformation groups, 46, Academic (1972) MR0413144
8	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
9	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
10	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
11	C Conley, Isolated invariant sets and the Morse index, 38, Amer. Math. Soc. (1978) MR511133
12	A Floer, A refinement of the Conley index and an application to the stability of hyperbolic invariant sets, Ergodic Theory Dynam. Systems 7 (1987) 93 MR886372
13	E E Floyd, On periodic maps and the Euler characteristics of associated spaces, Trans. Amer. Math. Soc. 72 (1952) 138 MR0046039
14	C M Gordon, Dehn surgery on knots, from: "Proceedings of the International Congress of Mathematicians" (editor I Satake), Math. Soc. Japan (1991) 631 MR1159250
15	J Hanselman, J Rasmussen, S D Rasmussen, L Watson, Taut foliations on graph manifolds, preprint (2015) arXiv:1508.05911
16	K Hendricks, A rank inequality for the knot Floer homology of double branched covers, Algebr. Geom. Topol. 12 (2012) 2127 MR3020203
17	J Hom, A note on cabling and L–space surgeries, Algebr. Geom. Topol. 11 (2011) 219 MR2764041
18	S Jabuka, Heegaard Floer groups of Dehn surgeries, J. Lond. Math. Soc. 92 (2015) 499 MR3431647
19	S Jabuka, T E Mark, On the Heegaard Floer homology of a surface times a circle, Adv. Math. 218 (2008) 728 MR2414320
20	P Kronheimer, T Mrowka, Monopoles and three-manifolds, 10, Cambridge Univ. Press (2007) MR2388043
21	P Kronheimer, T Mrowka, P Ozsváth, Z Szabó, Monopoles and lens space surgeries, Ann. of Math. 165 (2007) 457 MR2299739
22	C Kutluhan, Y J Lee, C H Taubes, HF = HM, I : Heegaard Floer homology and Seiberg–Witten Floer homology, preprint (2010) arXiv:1007.1979
23	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
24	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
25	C Kutluhan, Y J Lee, C H Taubes, HF = HM, IV : The Seiberg–Witten Floer homology and ech correspondence, preprint (2011) arXiv:1107.2297
26	C Kutluhan, Y J Lee, C H Taubes, HF = HM, V : Seiberg–Witten–Floer homology and handle addition, preprint (2012) arXiv:1204.0115
27	D A Lee, R Lipshitz, Covering spaces and ℚ–gradings on Heegaard Floer homology, J. Symplectic Geom. 6 (2008) 33 MR2417439
28	Y J Lee, Heegaard splittings and Seiberg–Witten monopoles, 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) 173 MR2189932
29	T Lidman, C Manolescu, The equivalence of two Seiberg–Witten Floer homologies, preprint (2016) arXiv:1603.00582
30	T Lidman, A H Moore, Pretzel knots with L–space surgeries, Michigan Math. J. 65 (2016) 105 MR3466818
31	R Lipshitz, D Treumann, Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers, J. Eur. Math. Soc. 18 (2016) 281 MR3459952
32	P Lisca, A I Stipsicz, Ozsváth–Szabó invariants and tight contact 3–manifolds, III, J. Symplectic Geom. 5 (2007) 357 MR2413308
33	C Manolescu, Seiberg–Witten–Floer stable homotopy type of three-manifolds with b₁ = 0, Geom. Topol. 7 (2003) 889 MR2026550
34	L Moser, Elementary surgery along a torus knot, Pacific J. Math. 38 (1971) 737 MR0383406
35	W D Neumann, D Zagier, Volumes of hyperbolic three-manifolds, Topology 24 (1985) 307 MR815482
36	Y Ni, Z Wu, Cosmetic surgeries on knots in S³, J. Reine Angew. Math. 706 (2015) 1 MR3393360
37	P Ozsváth, Z Szabó, Holomorphic disks and genus bounds, Geom. Topol. 8 (2004) 311 MR2023281
38	P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
39	P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
40	P Ozsváth, Z Szabó, On knot Floer homology and lens space surgeries, Topology 44 (2005) 1281 MR2168576
41	P Ozsváth, Z Szabó, On the Heegaard Floer homology of branched double-covers, Adv. Math. 194 (2005) 1 MR2141852
42	P S Ozsváth, Z Szabó, Knot Floer homology and integer surgeries, Algebr. Geom. Topol. 8 (2008) 101 MR2377279
43	P S Ozsváth, Z Szabó, Knot Floer homology and rational surgeries, Algebr. Geom. Topol. 11 (2011) 1 MR2764036
44	T Peters, On L–spaces and non left-orderable 3–manifold groups, preprint (2009) arXiv:0903.4495
45	A M Pruszko, The Conley index for flows preserving generalized symmetries, from: "Conley index theory" (editors K Mischaikow, M Mrozek, P Zgliczyński), Banach Center Publ. 47, Polish Acad. Sci. Inst. Math. (1999) 193 MR1692371
46	P Seidel, I Smith, Localization for involutions in Floer cohomology, Geom. Funct. Anal. 20 (2010) 1464 MR2739000
47	P A Smith, Transformations of finite period, Ann. of Math. 39 (1938) 127 MR1503393
48	C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, I, Geom. Topol. 14 (2010) 2497 MR2746723
49	C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, II, Geom. Topol. 14 (2010) 2583 MR2746724
50	C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, III, Geom. Topol. 14 (2010) 2721 MR2746725
51	C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, IV, Geom. Topol. 14 (2010) 2819 MR2746726
52	C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, V, Geom. Topol. 14 (2010) 2961 MR2746727
53	D T Wise, The structure of groups with a quasiconvex hierarchy, preprint (2011)