Algebraic & Geometric Topology Volume 13, issue 1 (2013)

Download this article
	For screen
	For printing

Recent 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

On sutured Floer homology and the equivalence of Seifert surfaces

Matthew Hedden, András Juhász and Sucharit Sarkar

Algebraic & Geometric Topology 13 (2013) 505–548

DOI: 10.2140/agt.2013.13.505

Bibliography

1	W R Alford, Complements of minimal spanning surfaces of knots are not unique, Ann. of Math. 91 (1970) 419 MR0253312
2	I Altman, Sutured Floer homology distinguishes between Seifert surfaces, Topology Appl. 159 (2012) 3143 MR2948273
3	J R Eisner, Knots with infinitely many minimal spanning surfaces, Trans. Amer. Math. Soc. 229 (1977) 329 MR0440528
4	S Friedl, A Juhász, J Rasmussen, The decategorification of sutured Floer homology, J. Topol. 4 (2011) 431 MR2805998
5	D Gabai, Foliations and genera of links, PhD thesis, Princeton University (1980) MR2630652
6	D Gabai, Foliations and the topology of 3–manifolds, J. Differential Geom. 18 (1983) 445 MR723813
7	D Gabai, The Murasugi sum is a natural geometric operation, from: "Low-dimensional topology" (editor S J Lomonaco Jr.), Contemp. Math. 20, Amer. Math. Soc. (1983) 131 MR718138
8	D Gabai, Detecting fibred links in S³, Comment. Math. Helv. 61 (1986) 519 MR870705
9	D Gabai, Foliations and the topology of 3–manifolds. II, J. Differential Geom. 26 (1987) 461 MR910017
10	P Ghiggini, Knot Floer homology detects genus-one fibred knots, Amer. J. Math. 130 (2008) 1151 MR2450204
11	A Juhász, Holomorphic discs and sutured manifolds, Algebr. Geom. Topol. 6 (2006) 1429 MR2253454
12	A Juhász, Floer homology and surface decompositions, Geom. Topol. 12 (2008) 299 MR2390347
13	A Juhász, The sutured Floer homology polytope, Geom. Topol. 14 (2010) 1303 MR2653728
14	O Kakimizu, Finding disjoint incompressible spanning surfaces for a link, Hiroshima Math. J. 22 (1992) 225 MR1177053
15	O Kakimizu, Classification of the incompressible spanning surfaces for prime knots of 10 or less crossings, Hiroshima Math. J. 35 (2005) 47 MR2131376
16	T Kobayashi, Uniqueness of minimal genus Seifert surfaces for links, Topology Appl. 33 (1989) 265 MR1026928
17	R Lipshitz, A cylindrical reformulation of Heegaard Floer homology, Geom. Topol. 10 (2006) 955 MR2240908
18	H C Lyon, Simple knots without unique minimal surfaces, Proc. Amer. Math. Soc. 43 (1974) 449 MR0377850
19	C Manolescu, P Ozsváth, S Sarkar, A combinatorial description of knot Floer homology, Ann. of Math. 169 (2009) 633 MR2480614
20	Y Ni, Sutured Heegaard diagrams for knots, Algebr. Geom. Topol. 6 (2006) 513 MR2220687
21	Y Ni, Knot Floer homology detects fibred knots, Invent. Math. 170 (2007) 577 MR2357503
22	Y Ni, Erratum : Knot Floer homology detects fibred knots, Invent. Math. 177 (2009) 235 MR2507641
23	P Ozsváth, Z Szabó, Heegaard Floer homology and alternating knots, Geom. Topol. 7 (2003) 225 MR1988285
24	P Ozsváth, Z Szabó, Holomorphic disks and genus bounds, Geom. Topol. 8 (2004) 311 MR2023281
25	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
26	P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
27	P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
28	J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) MR2704683
29	S Sarkar, J Wang, An algorithm for computing some Heegaard Floer homologies, Ann. of Math. 171 (2010) 1213 MR2630063
30	W P Thurston, A norm for the homology of 3–manifolds, Mem. Amer. Math. Soc. 59 (1986) MR823443
31	H F Trotter, Some knots spanned by more than one knotted surface of mininal genus, from: "Knots, groups, and 3–manifolds" (editor L P Neuwirth), Ann. of Math. Studies 84, Princeton Univ. Press (1975) 51 MR0377851
32	V Turaev, Torsion invariants of Spin^c–structures on 3–manifolds, Math. Res. Lett. 4 (1997) 679 MR1484699