Algebraic & Geometric Topology Volume 12, issue 4 (2012)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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A rank inequality for the knot Floer homology of double branched covers

Kristen Hendricks

Algebraic & Geometric Topology 12 (2012) 2127–2178

DOI: 10.2140/agt.2012.12.2127

Bibliography

1	M F Atiyah, F Hirzebruch, Vector bundles and homogeneous spaces, from: "Proc. Sympos. Pure Math., Vol III", American Mathematical Society (1961) 7 MR0139181
2	K Cieleback, Y Eliashberg, From Stein to Weinstein and back (1991)
3	A Floer, Morse theory for Lagrangian intersections, J. Differential Geom. 28 (1988) 513 MR965228
4	A Floer, A relative Morse index for the symplectic action, Comm. Pure Appl. Math. 41 (1988) 393 MR933228
5	A Floer, The unregularized gradient flow of the symplectic action, Comm. Pure Appl. Math. 41 (1988) 775 MR948771
6	P Ghiggini, Knot Floer homology detects genus-one fibred knots, Amer. J. Math. 130 (2008) 1151 MR2450204
7	J E Grigsby, Knot Floer homology in cyclic branched covers, Algebr. Geom. Topol. 6 (2006) 1355 MR2253451
8	A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
9	A Hatcher, Vector Bundles and K–Theory, draft textbook (2009)
10	A S Levine, Computing knot Floer homology in cyclic branched covers, Algebr. Geom. Topol. 8 (2008) 1163 MR2443111
11	A S Levine, Applications of Heegaard Floer homology to knot and link concordance, PhD thesis, Columbia University (2010) MR2794779
12	R Lipshitz, A cylindrical reformulation of Heegaard Floer homology, Geom. Topol. 10 (2006) 955 MR2240908
13	I G Macdonald, Symmetric products of an algebraic curve, Topology 1 (1962) 319 MR0151460
14	D McDuff, D Salamon, Introduction to symplectic topology, , The Clarendon Press Oxford University Press (1995) MR1373431
15	D McDuff, D Salamon, J–holomorphic curves and symplectic topology, 52, American Mathematical Society (2004) MR2045629
16	Y Ni, Knot Floer homology detects fibred knots, Invent. Math. 170 (2007) 577 MR2357503
17	Y G Oh, Floer cohomology of Lagrangian intersections and pseudo-holomorphic disks I, Comm. Pure Appl. Math. 46 (1993) 949 MR1223659
18	B W Ong, The homotopy type of the symmetric products of bouquets of circles, Internat. J. Math. 14 (2003) 489 MR1993792
19	P Ozsváth, Z Szabó, Holomorphic disks and genus bounds, Geom. Topol. 8 (2004) 311 MR2023281
20	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
21	P Ozsváth, Z Szabó, Holomorphic disks, link invariants and the multi-variable Alexander polynomial, Algebr. Geom. Topol. 8 (2008) 615 MR2443092
22	T Perutz, Hamiltonian handleslides for Heegaard Floer homology, from: "Proceedings of Gökova Geometry–Topology Conference 2007", Gökova Geometry/Topology Conference (GGT), Gökova (2008) 15 MR2509747
23	J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) MR2704683
24	R Richberg, Stetige streng pseudokonvexe Funktionen, Math. Ann. 175 (1968) 257 MR0222334
25	S Sarkar, J Wang, An algorithm for computing some Heegaard Floer homologies, Ann. of Math. 171 (2010) 1213 MR2630063
26	P Seidel, I Smith, Localization for involutions in Floer cohomology, Geom. Funct. Anal. 20 (2010) 1464 MR2739000
27	J C Sikorav, Review of ‘Morse theory for Lagrangian intersections’