Volume 7 (2003)

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Knot Floer homology and the four-ball genus

Peter Ozsváth and Zoltán Szabó

Geometry & Topology 7 (2003) 615–639

DOI: 10.2140/gt.2003.7.615

Forward citations
J A Baldwin, Heegaard Floer homology and genus one, one-boundary component open books, Journal of Topology 1 (2008) 963
J C CHA, C LIVINGSTON, D RUBERMAN, Algebraic and Heegaard–Floer invariants of knots with slice Bing doubles, Mathematical Proceedings of the Cambridge Philosophical Society 144 (2008)
J C Cha, Topological minimal genus and L²–signatures, Algebraic & Geometric Topology 8 (2008) 885
E Eftekhary, Longitude Floer homology and the Whitehead double, Algebraic & Geometric Topology 5 (2005) 1389
S Friedl, P Teichner, New topologically slice knots, Geometry & Topology 9 (2005) 2129
H Goda, H Matsuda, T Morifuji, Knot Floer Homology of (1, 1)-Knots, Geometriae Dedicata 112 (2005) 197
J E Grigsby, D Ruberman, S Strle, Knot concordance and Heegaard Floer homology invariants in branched covers, Geometry & Topology 12 (2008) 2249
M Hedden, On knot Floer homology and cabling, Algebraic & Geometric Topology 5 (2005) 1197
M Hedden, Knot Floer homology of Whitehead doubles, Geometry & Topology 11 (2007) 2277
M Hedden, On Knot Floer Homology and Cabling: 2, International Mathematics Research Notices (2009)
C Herald, P Kirk, C Livingston, Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation, Mathematische Zeitschrift (2009)
S Jabuka, S Naik, Order in the concordance group and Heegaard Floer homology, Geometry & Topology 11 (2007) 979
S Kim, C Livingston, Knot mutation: 4-genus of knots and algebraic concordance, Pacific Journal of Mathematics 220 (2005) 87
C Livingston, Splitting the concordance group of algebraically slice knots, Geometry & Topology 7 (2003) 641
C Livingston, Computations of the Ozsváth–Szabó knot concordance invariant, Geometry & Topology 8 (2004) 735
C Livingston, S Naik, Ozsváth–Szabó and Rasmussen invariants of doubled knots, Algebraic & Geometric Topology 6 (2006) 651
C Livingston, The concordance genus of a knot, II, Algebraic & Geometric Topology 9 (2009) 167
C Manolescu, P Ozsváth, Z Szabó, D P Thurston, On combinatorial link Floer homology, Geometry & Topology 11 (2007) 2339
L Ng, A Legendrian Thurston–Bennequin bound from Khovanov homology, Algebraic & Geometric Topology 5 (2005) 1637
P Ozsváth, Z Szabó, D P Thurston, Legendrian knots, transverse knots and combinatorial Floer homology, Geometry & Topology 12 (2008) 941
P Ozsváth, Z Szabó, Holomorphic disks, link invariants and the multi-variable Alexander polynomial, Algebraic & Geometric Topology 8 (2008) 615
O Plamenevskaya, Bounds for the Thurston–Bennequin number from Floer homology, Algebraic & Geometric Topology 4 (2004) 399
S Sarkar, J Wang, An algorithm for computing some Heegaard Floer homologies, Annals of Mathematics 171 (2010) 1213
A Stoimenow, Genus generators and the positivity of the signature, Algebraic & Geometric Topology 6 (2006) 2351
C A Van Cott, Ozsváth–Szabó and Rasmussen invariants of cable knots, Algebraic & Geometric Topology 10 (2010) 825