Algebraic & Geometric Topology Volume 13, issue 3 (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

Dehn surgery, rational open books and knot Floer homology

Matthew Hedden and Olga Plamenevskaya

Algebraic & Geometric Topology 13 (2013) 1815–1856

DOI: 10.2140/agt.2013.13.1815

Bibliography

1	K L Baker, J B Etnyre, J Van Horn-Morris, Cabling, contact structures and mapping class monoids, J. Differential Geom. 90 (2012) 1 MR2891477
2	J A Baldwin, Tight contact structures and genus one fibered knots, Algebr. Geom. Topol. 7 (2007) 701 MR2308961
3	J A Baldwin, Heegaard Floer homology and genus one, one-boundary component open books, J. Topol. 1 (2008) 963 MR2461862
4	J A Baldwin, J B Etnyre, Admissible transverse surgery does not preserve tightness arXiv:1203.2993
5	F Ding, H Geiges, A Legendrian surgery presentation of contact 3-manifolds, Math. Proc. Cambridge Philos. Soc. 136 (2004) 583 MR2055048
6	F Ding, H Geiges, A I Stipsicz, Surgery diagrams for contact 3-manifolds, Turkish J. Math. 28 (2004) 41 MR2056760
7	E Eftekhary, Longitude Floer homology and the Whitehead double, Algebr. Geom. Topol. 5 (2005) 1389 MR2171814
8	E Eftekhary, Heegaard Floer homology and Morse surgery (2006) arXiv:math/0603171v2
9	T Etgü, Tight contact structures on laminar free hyperbolic three-manifolds, Int. Math. Res. Not. 2012 (2012) 4775 MR2989619
10	J B Etnyre, K Honda, On the nonexistence of tight contact structures, Ann. of Math. 153 (2001) 749 MR1836287
11	J B Etnyre, J Van Horn-Morris, Fibered transverse knots and the Bennequin bound, Int. Math. Res. Not. 2011 (2011) 1483 MR2806512
12	D T Gay, Symplectic 2-handles and transverse links, Trans. Amer. Math. Soc. 354 (2002) 1027 MR1867371
13	P Ghiggini, K Honda, J Van Horn-Morris, The vanishing of the contact invariant in the presence of torsion arXiv:0706.1602
14	E Giroux, Convexité en topologie de contact, Comment. Math. Helv. 66 (1991) 637 MR1129802
15	E Giroux, Structures de contact en dimension trois et bifurcations des feuilletages de surfaces, Invent. Math. 141 (2000) 615 MR1779622
16	R E Gompf, A I Stipsicz, $4$-manifolds and Kirby calculus, Graduate Studies in Mathematics 20, American Mathematical Society (1999) MR1707327
17	J Greene, $L$-space surgeries, genus bounds, and the cabling conjecture arXiv:1009.1130
18	M Hedden, On knot Floer homology and cabling, Algebr. Geom. Topol. 5 (2005) 1197 MR2171808
19	M Hedden, Knot Floer homology of Whitehead doubles, Geom. Topol. 11 (2007) 2277 MR2372849
20	M Hedden, An Ozsváth–Szabó Floer homology invariant of knots in a contact manifold, Adv. Math. 219 (2008) 89 MR2435421
21	M Hedden, On Floer homology and the Berge conjecture on knots admitting lens space surgeries, Trans. Amer. Math. Soc. 363 (2011) 949 MR2728591
22	K Honda, On the classification of tight contact structures, I, Geom. Topol. 4 (2000) 309 MR1786111
23	K Honda, On the classification of tight contact structures, II, J. Differential Geom. 55 (2000) 83 MR1849027
24	K Honda, W H Kazez, G Matić, Right-veering diffeomorphisms of compact surfaces with boundary, Invent. Math. 169 (2007) 427 MR2318562
25	K Honda, W H Kazez, G Matić, On the contact class in Heegaard Floer homology, J. Differential Geom. 83 (2009) 289 MR2577470
26	A Juhász, Holomorphic discs and sutured manifolds, Algebr. Geom. Topol. 6 (2006) 1429 MR2253454
27	A Juhász, Floer homology and surface decompositions, Geom. Topol. 12 (2008) 299 MR2390347
28	Y Kanda, The classification of tight contact structures on the $3$-torus, Comm. Anal. Geom. 5 (1997) 413 MR1487723
29	R Lipshitz, P Ozsváth, D Thurston, Bordered Heegaard Floer homology: invariance and pairing arXiv:0810.0687
30	P Lisca, A I Stipsicz, Ozsváth–Szabó invariants and tight contact three-manifolds, II, J. Differential Geom. 75 (2007) 109 MR2282726
31	P Lisca, A I Stipsicz, Contact surgery and transverse invariants, J. Topol. 4 (2011) 817 MR2860344
32	Y Ni, Knot Floer homology detects fibred knots, Invent. Math. 170 (2007) 577 MR2357503
33	Y Ni, Link Floer homology detects the Thurston norm, Geom. Topol. 13 (2009) 2991 MR2546619
34	P Ozsváth, Z Szabó, Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary, Adv. Math. 173 (2003) 179 MR1957829
35	P Ozsváth, Z Szabó, Holomorphic disks and genus bounds, Geom. Topol. 8 (2004) 311 MR2023281
36	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
37	P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
38	P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
39	P Ozsváth, Z Szabó, Heegaard Floer homology and contact structures, Duke Math. J. 129 (2005) 39 MR2153455
40	P Ozsváth, Z Szabó, On the Heegaard Floer homology of branched double-covers, Adv. Math. 194 (2005) 1 MR2141852
41	P Ozsváth, Z Szabó, Holomorphic disks, link invariants and the multi-variable Alexander polynomial, Algebr. Geom. Topol. 8 (2008) 615 MR2443092
42	P Ozsváth, Z Szabó, Knot Floer homology and rational surgeries, Algebr. Geom. Topol. 11 (2011) 1 MR2764036
43	J Rasmussen, Lens space surgeries and $L$-space homology spheres arXiv:0710.2531