Geometry & Topology Volume 20, issue 6 (2016)

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Concordance maps in knot Floer homology

András Juhász and Marco Marengon

Geometry & Topology 20 (2016) 3623–3673

DOI: 10.2140/gt.2016.20.3623

Bibliography

1	G Arone, M Kankaanrinta, On the functoriality of the blow-up construction, Bull. Belg. Math. Soc. Simon Stevin 17 (2010) 821 MR2777772
2	M Atiyah, Topological quantum field theories, Inst. Hautes Études Sci. Publ. Math. 68 (1988) 175 MR1001453
3	J A Baldwin, W D Gillam, Computations of Heegaard–Floer knot homology, J. Knot Theory Ramifications 21 (2012) MR2925428
4	C Blanchet, V Turaev, Axiomatic approach to topological quantum field theory, from: "Encyclopedia of Mathematical Physics" (editors J P Françoise, G L Naber, T S Tsun), Academic Press (2006)
5	R H Fox, Some problems in knot theory, from: "Topology of 3–manifolds and related topics", Prentice-Hall (1962) 168 MR0140100
6	M Freedman, R Gompf, S Morrison, K Walker, Man and machine thinking about the smooth 4–dimensional Poincaré conjecture, Quantum Topol. 1 (2010) 171 MR2657647
7	D Gabai, Foliations and the topology of 3–manifolds, J. Differential Geom. 18 (1983) 445 MR723813
8	P Ghiggini, Knot Floer homology detects genus-one fibred knots, Amer. J. Math. 130 (2008) 1151 MR2450204
9	M Hedden, On knot Floer homology and cabling, PhD thesis, Columbia University (2005)
10	K Honda, On the classification of tight contact structures, II, J. Differential Geom. 55 (2000) 83 MR1849027
11	K Honda, W Kazez, G Matić, Contact structures, sutured Floer homology and TQFT, preprint (2008) arXiv:0807.2431
12	M Jacobsson, An invariant of link cobordisms from Khovanov homology, Algebr. Geom. Topol. 4 (2004) 1211 MR2113903
13	A Juhász, Holomorphic discs and sutured manifolds, Algebr. Geom. Topol. 6 (2006) 1429 MR2253454
14	A Juhász, Floer homology and surface decompositions, Geom. Topol. 12 (2008) 299 MR2390347
15	A Juhász, The sutured Floer homology polytope, Geom. Topol. 14 (2010) 1303 MR2653728
16	A Juhász, Cobordisms of sutured manifolds and the functoriality of link Floer homology, Adv. Math. 299 (2016) 940 MR3519484
17	A Juhász, D Thurston, Naturality and mapping class groups in Heegaard Floer homology, preprint (2012) arXiv:1210.4996
18	Ç Karakurt, T Lidman, Rank inequalities for the Heegaard Floer homology of Seifert homology spheres, Trans. Amer. Math. Soc. 367 (2015) 7291 MR3378830
19	P B Kronheimer, T S Mrowka, Gauge theory and Rasmussen’s invariant, J. Topol. 6 (2013) 659 MR3100886
20	R Lipshitz, A cylindrical reformulation of Heegaard Floer homology, Geom. Topol. 10 (2006) 955 MR2240908
21	R Lutz, Structures de contact sur les fibrés principaux en cercles de dimension trois, Ann. Inst. Fourier (Grenoble) 27 (1977) 1 MR0478180
22	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
23	C Manolescu, P Ozsváth, S Sarkar, A combinatorial description of knot Floer homology, Ann. of Math. 169 (2009) 633 MR2480614
24	J McCleary, A user’s guide to spectral sequences, 58, Cambridge University Press (2001) MR1793722
25	Y Ni, Knot Floer homology detects fibred knots, Invent. Math. 170 (2007) 577 MR2357503
26	P Ozsváth, Z Szabó, Knot Floer homology and the four-ball genus, Geom. Topol. 7 (2003) 615 MR2026543
27	P Ozsváth, Z Szabó, Holomorphic disks and genus bounds, Geom. Topol. 8 (2004) 311 MR2023281
28	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
29	P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
30	P Ozsváth, Z Szabó, Holomorphic triangles and invariants for smooth four-manifolds, Adv. Math. 202 (2006) 326 MR2222356
31	J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) MR2704683
32	J Rasmussen, Khovanov homology and the slice genus, Invent. Math. 182 (2010) 419 MR2729272
33	Y W Rong, Degree one maps between geometric 3–manifolds, Trans. Amer. Math. Soc. 332 (1992) 411 MR1052909
34	S Sarkar, Grid diagrams and the Ozsváth–Szabó tau-invariant, Math. Res. Lett. 18 (2011) 1239 MR2915478
35	S Sarkar, Moving basepoints and the induced automorphisms of link Floer homology, Algebr. Geom. Topol. 15 (2015) 2479 MR3426686
36	D S Silver, W Whitten, Knot group epimorphisms, J. Knot Theory Ramifications 15 (2006) 153 MR2207903
37	J Stallings, On fibering certain 3–manifolds, from: "Topology of 3–manifolds and related topics", Prentice-Hall (1962) 95 MR0158375
38	D W Sumners, Invertible knot cobordisms, Comment. Math. Helv. 46 (1971) 240 MR0290351