Algebraic & Geometric Topology Volume 25, issue 6 (2025)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Holomorphic polygons and the bordered Heegaard Floer homology of link complements

Thomas Hockenhull

Algebraic & Geometric Topology 25 (2025) 3145–3224

DOI: 10.2140/agt.2025.25.3145

Bibliography

1	L V Ahlfors, Conformal invariants: topics in geometric function theory, McGraw-Hill (1973) MR357743
2	D Auroux, Fukaya categories of symmetric products and bordered Heegaard–Floer homology, J. Gökova Geom. Topol. 4 (2010) 1 MR2755992
3	F Bourgeois, A Morse–Bott approach to contact homology, PhD thesis, Stanford University (2002) MR2703292
4	F Bourgeois, Y Eliashberg, H Hofer, K Wysocki, E Zehnder, Compactness results in symplectic field theory, Geom. Topol. 7 (2003) 799 MR2026549
5	E Eftekhary, Floer homology and splicing knot complements, Algebr. Geom. Topol. 15 (2015) 3155 MR3450759
6	J Hanselman, Bordered Heegaard Floer homology and graph manifolds, Algebr. Geom. Topol. 16 (2016) 3103 MR3584255
7	T Hockenhull, Gluing bypass exact triangles, in preparation
8	H Hofer, V Lizan, J C Sikorav, On genericity for holomorphic curves in four-dimensional almost-complex manifolds, J. Geom. Anal. 7 (1997) 149 MR1630789
9	A S Levine, Knot doubling operators and bordered Heegaard Floer homology, J. Topol. 5 (2012) 651 MR2971610
10	R Lipshitz, A cylindrical reformulation of Heegaard Floer homology, Geom. Topol. 10 (2006) 955 MR2240908
11	R Lipshitz, P S Ozsváth, D P Thurston, Computing HF by factoring mapping classes, Geom. Topol. 18 (2014) 2547 MR3285222
12	R Lipshitz, P S Ozsváth, D P Thurston, Bimodules in bordered Heegaard Floer homology, Geom. Topol. 19 (2015) 525 MR3336273
13	R Lipshitz, P S Ozsváth, D P Thurston, Bordered Floer homology and the spectral sequence of a branched double cover, II : The spectral sequences agree, J. Topol. 9 (2016) 607 MR3509974
14	R Lipshitz, P S Ozsváth, D P Thurston, Bordered Heegaard Floer homology, 1216, Amer. Math. Soc. (2018) MR3827056
15	C Manolescu, P Ozsváth, Heegaard Floer homology and integer surgeries on links, (2010) arXiv:1011.1317
16	D McDuff, D Salamon, J-holomorphic curves and symplectic topology, 52, Amer. Math. Soc. (2012) MR2954391
17	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
18	P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
19	P Ozsváth, Z Szabó, On the Heegaard Floer homology of branched double-covers, Adv. Math. 194 (2005) 1 MR2141852
20	P Ozsváth, Z Szabó, Holomorphic disks, link invariants and the multi-variable Alexander polynomial, Algebr. Geom. Topol. 8 (2008) 615 MR2443092
21	P S Ozsváth, Z Szabó, Knot Floer homology and integer surgeries, Algebr. Geom. Topol. 8 (2008) 101 MR2377279
22	P S Ozsváth, Z Szabó, Knot Floer homology and rational surgeries, Algebr. Geom. Topol. 11 (2011) 1 MR2764036
23	J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) MR2704683
24	P Seidel, Fukaya categories and Picard–Lefschetz theory, Eur. Math. Soc. (2008) MR2441780
25	P Seidel, Lectures on four-dimensional Dehn twists, from: "Symplectic 4-manifolds and algebraic surfaces", Lecture Notes in Math. 1938, Springer (2008) 231 MR2441414
26	R Zarev, Bordered sutured Floer homology, PhD thesis, Columbia University (2011) MR2941830