Geometry & Topology Volume 30, issue 2 (2026)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Graph cobordisms and Heegaard Floer homology

Ian Zemke

Geometry & Topology 30 (2026) 389–528

DOI: 10.2140/gt.2026.30.389

Bibliography

1	A S Alishahi, E Eftekhary, A refinement of sutured Floer homology, J. Symplectic Geom. 13 (2015) 609 MR3412088
2	F Bourgeois, A Morse–Bott approach to contact homology, PhD thesis, Stanford University (2002) MR2703292
3	F Bourgeois, Y Eliashberg, H Hofer, K Wysocki, E Zehnder, Compactness results in symplectic field theory, Geom. Topol. 7 (2003) 799 MR2026549
4	V Colin, P Ghiggini, K Honda, The equivalence of Heegaard Floer homology and embedded contact homology, III : From hat to plus, Publ. Math. Inst. Hautes Études Sci. 139 (2024) 349 MR4750571
5	V Colin, P Ghiggini, K Honda, The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions, I, Publ. Math. Inst. Hautes Études Sci. 139 (2024) 13 MR4750569
6	V Colin, P Ghiggini, K Honda, The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions, II, Publ. Math. Inst. Hautes Études Sci. 139 (2024) 189 MR4750570
7	V Colin, P Ghiggini, K Honda, Embedded contact homology and open book decompositions, Geom. Topol. 29 (2025) 3345 MR4974986
8	J B Etnyre, D S Vela-Vick, R Zarev, Sutured Floer homology and invariants of Legendrian and transverse knots, Geom. Topol. 21 (2017) 1469 MR3650078
9	M Golla, Comparing invariants of Legendrian knots, Quantum Topol. 6 (2015) 365 MR3392959
10	K Hendricks, C Manolescu, I Zemke, A connected sum formula for involutive Heegaard Floer homology, Selecta Math. 24 (2018) 1183 MR3782421
11	K Honda, W Kazez, G Matić, Contact structures, sutured Floer homology and TQFT, preprint (2008) arXiv:0807.2431
12	M Hutchings, C H Taubes, The Weinstein conjecture for stable Hamiltonian structures, Geom. Topol. 13 (2009) 901 MR2470966
13	A Juhász, Holomorphic discs and sutured manifolds, Algebr. Geom. Topol. 6 (2006) 1429 MR2253454
14	A Juhász, Cobordisms of sutured manifolds and the functoriality of link Floer homology, Adv. Math. 299 (2016) 940 MR3519484
15	A Juhász, Defining and classifying TQFTs via surgery, Quantum Topol. 9 (2018) 229 MR3812798
16	A Juhász, D Thurston, I Zemke, Naturality and mapping class groups in Heegard Floer homology, 1338, Amer. Math. Soc. (2021) MR4337438
17	P Kronheimer, T Mrowka, Monopoles and three-manifolds, 10, Cambridge Univ. Press (2007) MR2388043
18	Ç Kutluhan, Y J Lee, C H Taubes, HF = HM, I : Heegaard Floer homology and Seiberg–Witten Floer homology, Geom. Topol. 24 (2020) 2829 MR4194305
19	Ç Kutluhan, Y J Lee, C H Taubes, HF = HM, II : Reeb orbits and holomorphic curves for the ech/Heegaard Floer correspondence, Geom. Topol. 24 (2020) 2855 MR4194306
20	Ç Kutluhan, Y J Lee, C H Taubes, HF = HM, III : Holomorphic curves and the differential for the ech/Heegaard Floer correspondence, Geom. Topol. 24 (2020) 3013 MR4194307
21	Ç Kutluhan, Y J Lee, C H Taubes, HF = HM, IV : The Seiberg–Witten Floer homology and ech correspondence, Geom. Topol. 24 (2020) 3219 MR4194308
22	Ç Kutluhan, Y J Lee, C H Taubes, HF = HM, V : Seiberg–Witten Floer homology and handle additions, Geom. Topol. 24 (2020) 3471 MR4194309
23	R Lipshitz, A cylindrical reformulation of Heegaard Floer homology, Geom. Topol. 10 (2006) 955 MR2240908
24	R Lipshitz, Correction to the article “A cylindrical reformulation of Heegaard Floer homology”, Geom. Topol. 18 (2014) 17 MR3158771
25	R Lipshitz, P S Ozsvath, D P Thurston, Bordered Heegaard Floer homology, 1216, Amer. Math. Soc. (2018) MR3827056
26	C Manolescu, P Ozsváth, Heegaard Floer homology and integer surgeries on links, Geom. Topol. 29 (2025) 2783 MR4965183
27	Y Ni, Homological actions on sutured Floer homology, Math. Res. Lett. 21 (2014) 1177 MR3294567
28	P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
29	P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
30	P Ozsváth, Z Szabó, Holomorphic triangles and invariants for smooth four-manifolds, Adv. Math. 202 (2006) 326 MR2222356
31	P Ozsváth, Z Szabó, Holomorphic disks, link invariants and the multi-variable Alexander polynomial, Algebr. Geom. Topol. 8 (2008) 615 MR2443092
32	S Sarkar, Maslov index formulas for Whitney n-gons, J. Symplectic Geom. 9 (2011) 251 MR2811652
33	S Sarkar, Moving basepoints and the induced automorphisms of link Floer homology, Algebr. Geom. Topol. 15 (2015) 2479 MR3426686
34	V G Turaev, Quantum invariants of knots and 3-manifolds, 18, de Gruyter (1994) MR1292673
35	K Wehrheim, C Woodward, Floer field theory for tangles, preprint (2015) arXiv:1503.07615
36	I Zemke, Link cobordisms and functoriality in link Floer homology, J. Topol. 12 (2019) 94 MR3905679
37	I Zemke, Duality and mapping tori in Heegaard Floer homology, J. Topol. 14 (2021) 1027 MR4503956
38	I Zemke, A graph TQFT for hat Heegaard Floer homology, Quantum Topol. 12 (2021) 439 MR4321211