Volume 19, issue 7 (2019)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
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