#### Volume 7, issue 2 (2003)

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Knot Floer homology and the four-ball genus

### Peter Ozsváth and Zoltán Szabó

Geometry & Topology 7 (2003) 615–639
##### Bibliography
 1 J O Berge, Some knots with surgeries giving lense spaces, unpublished manuscript 2 M Boileau, C Weber, Le problème de J. Milnor sur le nombre gordien des n\oeuds algébriques, Enseign. Math. $(2)$ 30 (1984) 173 MR767901 3 S K Donaldson, P B Kronheimer, The geometry of four-manifolds, Oxford Mathematical Monographs, The Clarendon Press Oxford University Press (1990) MR1079726 4 C A Giller, A family of links and the Conway calculus, Trans. Amer. Math. Soc. 270 (1982) 75 MR642331 5 C M Gordon, R A Litherland, K Murasugi, Signatures of covering links, Canad. J. Math. 33 (1981) 381 MR617628 6 L H Kauffman, Formal knot theory, Mathematical Notes 30, Princeton University Press (1983) MR712133 7 T Kawamura, The unknotting numbers of $10_{139}$ and $10_{152}$ are 4, Osaka J. Math. 35 (1998) 539 MR1648364 8 P B Kronheimer, T S Mrowka, Gauge theory for embedded surfaces I, Topology 32 (1993) 773 MR1241873 9 J Milnor, Singular points of complex hypersurfaces, Annals of Mathematics Studies 61, Princeton University Press (1968) MR0239612 10 B Owens, S Strle, Rational homology spheres and the four-ball genus of knots, Adv. Math. 200 (2006) 196 MR2199633 11 P Ozsváth, Z Szabó, Holomorphic triangles and invariants for smooth four-manifolds, Adv. Math. 202 (2006) 326 MR2222356 12 P Ozsváth, Z Szabó, On knot Floer homology and lens space surgeries, Topology 44 (2005) 1281 MR2168576 13 P Ozsváth, Z Szabó, The symplectic Thom conjecture, Ann. of Math. $(2)$ 151 (2000) 93 MR1745017 14 P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. $(2)$ 159 (2004) 1159 MR2113020 15 P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. $(2)$ 159 (2004) 1027 MR2113019 16 P Ozsváth, Z Szabó, Holomorphic disk invariants for symplectic four-manifolds, arXiv:math.SG/0201059 17 P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507 18 P Ozsváth, Z Szabó, Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary, Adv. Math. 173 (2003) 179 MR1957829 19 P Ozsváth, Z Szabó, Heegaard Floer homology and alternating knots, Geom. Topol. 7 (2003) 225 MR1988285 20 P Ozsváth, Z Szabó, Knot Floer homology, genus bounds, and mutation, Topology Appl. 141 (2004) 59 MR2058681 21 J A Rasmussen, Floer homology of surgeries on two-bridge knots, Algebr. Geom. Topol. 2 (2002) 757 MR1928176 22 J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) 23 D Rolfsen, Knots and links, Mathematics Lecture Series 7, Publish or Perish (1990) MR1277811 24 L Rudolph, Quasipositivity as an obstruction to sliceness, Bull. Amer. Math. Soc. $($N.S.$)$ 29 (1993) 51 MR1193540 25 T Tanaka, Unknotting numbers of quasipositive knots, Topology Appl. 88 (1998) 239 MR1632085 26 S Wolfram, The Mathematica book, Wolfram Media, Champaign, IL (1999) MR1721106