Volume 21, issue 3 (2017)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 23, 1 issue

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
Author Index
To Appear
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Other MSP Journals
Sutured Floer homology and invariants of Legendrian and transverse knots

John B Etnyre, David Shea Vela-Vick and Rumen Zarev

Geometry & Topology 21 (2017) 1469–1582
Bibliography
1 J A Baldwin, S Sivek, A contact invariant in sutured monopole homology, preprint (2014) arXiv:1403.1930
2 J A Baldwin, S Sivek, Instanton Floer homology and contact structures, Selecta Math. 22 (2016) 939 MR3477339
3 J A Baldwin, D S Vela-Vick, V Vértesi, On the equivalence of Legendrian and transverse invariants in knot Floer homology, Geom. Topol. 17 (2013) 925 MR3070518
4 M Bökstedt, A Neeman, Homotopy limits in triangulated categories, Compositio Math. 86 (1993) 209 MR1214458
5 J Epstein, D Fuchs, M Meyer, Chekanov–Eliashberg invariants and transverse approximations of Legendrian knots, Pacific J. Math. 201 (2001) 89 MR1867893
6 J B Etnyre, Legendrian and transversal knots, from: "Handbook of knot theory" (editors W Menasco, M Thistlethwaite), Elsevier (2005) 105 MR2179261
7 J B Etnyre, K Honda, Knots and contact geometry, I : Torus knots and the figure eight knot, J. Symplectic Geom. 1 (2001) 63 MR1959579
8 J B Etnyre, K Honda, Cabling and transverse simplicity, Ann. of Math. 162 (2005) 1305 MR2179731
9 J B Etnyre, D S Vela-Vick, Torsion and open book decompositions, Int. Math. Res. Not. 2010 (2010) 4385 MR2737776
10 D Gabai, Foliations and the topology of 3–manifolds, J. Differential Geom. 18 (1983) 445 MR723813
11 P Ghiggini, K Honda, J V Horn-Morris, The vanishing of the contact invariant in the presence of torsion, preprint (2008) arXiv:0706.1602v2
12 E Giroux, Structures de contact en dimension trois et bifurcations des feuilletages de surfaces, Invent. Math. 141 (2000) 615 MR1779622
13 E Giroux, Géométrie de contact : de la dimension trois vers les dimensions supérieures, from: "Proceedings of the International Congress of Mathematicians, II" (editor T Li), Higher Ed. Press (2002) 405 MR1957051
14 M Golla, Comparing invariants of Legendrian knots, Quantum Topol. 6 (2015) 365 MR3392959
15 M Golla, Ozsváth–Szabó invariants of contact surgeries, Geom. Topol. 19 (2015) 171 MR3318750
16 K Honda, Contact structure, Heegaard Floer homology and triangulated categories, in preparation
17 K Honda, On the classification of tight contact structures, I, Geom. Topol. 4 (2000) 309 MR1786111
18 K Honda, W H Kazez, G Matić, Contact structures, sutured Floer homology and TQFT, preprint (2008) arXiv:0807.2431
19 K Honda, W H Kazez, G Matić, The contact invariant in sutured Floer homology, Invent. Math. 176 (2009) 637 MR2501299
20 K Honda, Y Tian, Contact categories of disks, preprint (2016) arXiv:1608.08325
21 A Juhász, Holomorphic discs and sutured manifolds, Algebr. Geom. Topol. 6 (2006) 1429 MR2253454
22 A Juhász, Floer homology and surface decompositions, Geom. Topol. 12 (2008) 299 MR2390347
23 R Lipshitz, P Ozsváth, D Thurston, Bordered Heegaard Floer homology: invariance and pairing, preprint (2008) arXiv:0810.0687
24 R Lipshitz, P S Ozsváth, D P Thurston, Bimodules in bordered Heegaard Floer homology, Geom. Topol. 19 (2015) 525 MR3336273
25 P Lisca, P Ozsváth, A I Stipsicz, Z Szabó, Heegaard Floer invariants of Legendrian knots in contact three-manifolds, J. Eur. Math. Soc. 11 (2009) 1307 MR2557137
26 P Lisca, A I Stipsicz, Contact surgery and transverse invariants, J. Topol. 4 (2011) 817 MR2860344
27 L Ng, P Ozsváth, D Thurston, Transverse knots distinguished by knot Floer homology, J. Symplectic Geom. 6 (2008) 461 MR2471100
28 P Ozsváth, A I Stipsicz, Contact surgeries and the transverse invariant in knot Floer homology, J. Inst. Math. Jussieu 9 (2010) 601 MR2650809
29 P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
30 P S Ozsváth, Z Szabó, Knot Floer homology and rational surgeries, Algebr. Geom. Topol. 11 (2011) 1 MR2764036
31 P Ozsváth, Z Szabó, D Thurston, Legendrian knots, transverse knots and combinatorial Floer homology, Geom. Topol. 12 (2008) 941 MR2403802
32 V G B Ramos, Y Huang, An absolute grading on Heegaard Floer homology by homotopy classes of oriented 2–plane fields, preprint (2011) arXiv:1112.0290
33 J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) MR2704683
34 S Sarkar, J Wang, An algorithm for computing some Heegaard Floer homologies, Ann. of Math. 171 (2010) 1213 MR2630063
35 A I Stipsicz, V Vértesi, On invariants for Legendrian knots, Pacific J. Math. 239 (2009) 157 MR2449016
36 W P Thurston, H E Winkelnkemper, On the existence of contact forms, Proc. Amer. Math. Soc. 52 (1975) 345 MR0375366
37 J J Tripp, Contact structures on open 3–manifolds, J. Symplectic Geom. 4 (2006) 93 MR2240214
38 D S Vela-Vick, On the transverse invariant for bindings of open books, J. Differential Geom. 88 (2011) 533 MR2844442
39 R Zarev, Bordered Floer homology for sutured manifolds, preprint (2009) arXiv:0908.1106
40 R Zarev, Joining and gluing sutured Floer homology, preprint (2010) arXiv:1010.3496
41 R Zarev, Equivalence of gluing maps for sfh, in preparation