Algebraic & Geometric Topology Volume 24, issue 9 (2024)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Heegaard Floer homology, knotifications of links, and plane curves with noncuspidal singularities

Maciej Borodzik, Beibei Liu and Ian Zemke

Algebraic & Geometric Topology 24 (2024) 4837–4889

DOI: 10.2140/agt.2024.24.4837

Bibliography

1	J Bodnár, D Celoria, M Golla, Cuspidal curves and Heegaard Floer homology, Proc. Lond. Math. Soc. 112 (2016) 512 MR3474482
2	M Borodzik, C Livingston, Heegaard Floer homology and rational cuspidal curves, Forum Math. Sigma 2 (2014) MR3347955
3	M Borodzik, M Hedden, C Livingston, Plane algebraic curves of arbitrary genus via Heegaard Floer homology, Comment. Math. Helv. 92 (2017) 215 MR3656470
4	A Daemi, C Scaduto, Chern–Simons functional, singular instantons, and the four-dimensional clasp number, J. Eur. Math. Soc. 26 (2024) 2127
5	P Feller, J Park, A note on the four-dimensional clasp number of knots, Math. Proc. Cambridge Philos. Soc. 173 (2022) 213 MR4438338
6	J Fernández de Bobadilla, I Luengo-Velasco, A Melle-Hernández, A Némethi, On rational cuspidal projective plane curves, Proc. Lond. Math. Soc. 92 (2006) 99 MR2192386
7	M Hedden, On knot Floer homology and cabling, II, Int. Math. Res. Not. 2009 (2009) 2248 MR2511910
8	M Hedden, S G Kim, C Livingston, Topologically slice knots of smooth concordance order two, J. Differential Geom. 102 (2016) 353 MR3466802
9	K Hendricks, C Manolescu, I Zemke, A connected sum formula for involutive Heegaard Floer homology, Selecta Math. 24 (2018) 1183 MR3782421
10	J Hom, A survey on Heegaard Floer homology and concordance, J. Knot Theory Ramifications 26 (2017) 1740015 MR3604497
11	A Juhász, Cobordisms of sutured manifolds and the functoriality of link Floer homology, Adv. Math. 299 (2016) 940 MR3519484
12	A Juhász, I Zemke, New Heegaard Floer slice genus and clasp number bounds, preprint (2020) arXiv:2007.07106
13	M H Kim, K Park, An infinite-rank summand of knots with trivial Alexander polynomial, J. Symplectic Geom. 16 (2018) 1749 MR3934241
14	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), International (2014) 76 MR3287799
15	T Lidman, On the infinity flavor of Heegaard Floer homology and the integral cohomology ring, Comment. Math. Helv. 88 (2013) 875 MR3134414
16	C Manolescu, P Ozsváth, Heegaard Floer homology and integer surgeries on links, preprint (2010) arXiv:1011.1317
17	Y Ni, Homological actions on sutured Floer homology, Math. Res. Lett. 21 (2014) 1177 MR3294567
18	S Y Orevkov, On rational cuspidal curves, I : Sharp estimate for degree via multiplicities, Math. Ann. 324 (2002) 657 MR1942244
19	B Owens, S Strle, Immersed disks, slicing numbers and concordance unknotting numbers, Comm. Anal. Geom. 24 (2016) 1107 MR3622316
20	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
21	P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
22	P Ozsváth, Z Szabó, On knot Floer homology and lens space surgeries, Topology 44 (2005) 1281 MR2168576
23	P Ozsváth, Z Szabó, Holomorphic triangles and invariants for smooth four-manifolds, Adv. Math. 202 (2006) 326 MR2222356
24	P Ozsváth, Z Szabó, Holomorphic disks, link invariants and the multi-variable Alexander polynomial, Algebr. Geom. Topol. 8 (2008) 615 MR2443092
25	J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) arXiv:math/0306378
26	S Sarkar, Maslov index formulas for Whitney n–gons, J. Symplectic Geom. 9 (2011) 251 MR2811652
27	C T C Wall, Singular points of plane curves, 63, Cambridge Univ. Press (2004) MR2107253
28	C A Weibel, An introduction to homological algebra, 38, Cambridge Univ. Press (1994) MR1269324
29	I Zemke, Graph cobordisms and Heegaard Floer homology, preprint (2015) arXiv:1512.01184
30	I Zemke, Quasistabilization and basepoint moving maps in link Floer homology, Algebr. Geom. Topol. 17 (2017) 3461 MR3709653
31	I Zemke, Connected sums and involutive knot Floer homology, Proc. Lond. Math. Soc. 119 (2019) 214 MR3957835
32	I Zemke, Link cobordisms and absolute gradings on link Floer homology, Quantum Topol. 10 (2019) 207 MR3950650
33	I Zemke, Link cobordisms and functoriality in link Floer homology, J. Topol. 12 (2019) 94 MR3905679