Volume 19, issue 7 (2019)

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Four-genera of links and Heegaard Floer homology

Beibei Liu

Algebraic & Geometric Topology 19 (2019) 3511–3540
Bibliography
1 M Borodzik, E Gorsky, Immersed concordances of links and Heegaard Floer homology, Indiana Univ. Math. J. 67 (2018) 1039 MR3820241
2 E Gorsky, J Hom, Cable links and L–space surgeries, Quantum Topol. 8 (2017) 629 MR3737274
3 E Gorsky, A Némethi, Lattice and Heegaard Floer homologies of algebraic links, Int. Math. Res. Not. 2015 (2015) 12737 MR3431635
4 A A Kosinski, Differential manifolds, 138, Academic (1993) MR1190010
5 A S Levine, D Ruberman, Generalized Heegaard Floer correction terms, from: "Proceedings of the Gökova Geometry–Topology Conference 2013" (editors S Akbulut, D Auroux, T Önder), GGT (2014) 76 MR3287799
6 Y Liu, Heegaard Floer homology of surgeries on two-bridge links, preprint (2014) arXiv:1402.5727
7 Y Liu, L–space surgeries on links, Quantum Topol. 8 (2017) 505 MR3692910
8 C Livingston, Knot 4–genus and the rank of classes in W((t)), Pacific J. Math. 252 (2011) 113 MR2862144
9 C Manolescu, P S Ozsváth, Heegaard Floer homology and integer surgeries on links, preprint (2010) arXiv:1011.11317
10 K Murasugi, On a certain numerical invariant of link types, Trans. Amer. Math. Soc. 117 (1965) 387 MR171275
11 P Ozsváth, Z Szabó, Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary, Adv. Math. 173 (2003) 179 MR1957829
12 P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
13 P Ozsváth, Z Szabó, On knot Floer homology and lens space surgeries, Topology 44 (2005) 1281 MR2168576
14 P Ozsváth, Z Szabó, Heegaard diagrams and Floer homology, from: "International Congress of Mathematicians" (editors M Sanz-Solé, J Soria, J L Varona, J Verdera), Eur. Math. Soc. (2006) 1083 MR2275636
15 P Ozsváth, Z Szabó, Holomorphic disks, link invariants and the multi-variable Alexander polynomial, Algebr. Geom. Topol. 8 (2008) 615 MR2443092
16 P Ozsváth, Z Szabó, Link Floer homology and the Thurston norm, J. Amer. Math. Soc. 21 (2008) 671 MR2393424
17 M Powell, The four-genus of a link, Levine–Tristram signatures and satellites, J. Knot Theory Ramifications 26 (2017) MR3604490
18 J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) arXiv:math/0306378v1 MR2704683
19 J Rasmussen, Lens space surgeries and a conjecture of Goda and Teragaito, Geom. Topol. 8 (2004) 1013 MR2087076
20 V G Turaev, Reidemeister torsion in knot theory, Uspekhi Mat. Nauk 41 (1986) 97 MR832411