Volume 23, issue 2 (2019)

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

Volume 28
Issue 8, 3511–3972
Issue 7, 3001–3510
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

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
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Strand algebras and contact categories

Daniel V Mathews

Geometry & Topology 23 (2019) 637–683
Bibliography
1 I Agol, Virtual properties of 3–manifolds, from: "Proceedings of the International Congress of Mathematicians" (editors S Y Jang, Y R Kim, D W Lee, I Ye), Kyung Moon Sa (2014) 141 MR3728467
2 D Bennequin, Entrelacements et équations de Pfaff, from: "Troisième rencontre de géométrie du Schnepfenried, I", Astérisque 107, Soc. Math. France (1983) 87 MR753131
3 N Bergeron, D T Wise, A boundary criterion for cubulation, Amer. J. Math. 134 (2012) 843 MR2931226
4 D Calegari, Notes on Agol’s virtual Haken theorem, course notes (2013)
5 V Colin, E Giroux, K Honda, On the coarse classification of tight contact structures, from: "Topology and geometry of manifolds" (editors G Matić, C McCrory), Proc. Sympos. Pure Math. 71, Amer. Math. Soc. (2003) 109 MR2024632
6 V Colin, E Giroux, K Honda, Finitude homotopique et isotopique des structures de contact tendues, Publ. Math. Inst. Hautes Études Sci. 109 (2009) 245 MR2511589
7 B Cooper, Formal contact categories, preprint (2015) arXiv:1511.04765
8 Y Eliashberg, Classification of overtwisted contact structures on 3–manifolds, Invent. Math. 98 (1989) 623 MR1022310
9 Y Eliashberg, Contact 3–manifolds twenty years since J Martinet’s work, Ann. Inst. Fourier (Grenoble) 42 (1992) 165 MR1162559
10 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
11 D Gabai, Foliations and the topology of 3–manifolds, Bull. Amer. Math. Soc. 8 (1983) 77 MR682826
12 E Giroux, Convexité en topologie de contact, Comment. Math. Helv. 66 (1991) 637 MR1129802
13 K Honda, Contact structures, Heegaard Floer homology and triangulated categories, in preparation
14 K Honda, On the classification of tight contact structures, I, Geom. Topol. 4 (2000) 309 MR1786111
15 K Honda, Gluing tight contact structures, Duke Math. J. 115 (2002) 435 MR1940409
16 K Honda, W H Kazez, G Matić, Contact structures, sutured Floer homology and TQFT, preprint (2008) arXiv:0807.2431
17 K Honda, W H Kazez, G Matić, The contact invariant in sutured Floer homology, Invent. Math. 176 (2009) 637 MR2501299
18 K Honda, W H Kazez, G Matić, On the contact class in Heegaard Floer homology, J. Differential Geom. 83 (2009) 289 MR2577470
19 K Honda, Y Tian, Contact categories of disks, preprint (2016) arXiv:1608.08325
20 A Juhász, Holomorphic discs and sutured manifolds, Algebr. Geom. Topol. 6 (2006) 1429 MR2253454
21 T Kálmán, D V Mathews, Tight contact structures on Seifert surface complements, preprint (2017) arXiv:1709.10304
22 L H Kauffman, Formal knot theory, 30, Princeton Univ. Press (1983) MR712133
23 R Lipshitz, P S Ozsváth, D P Thurston, Bimodules in bordered Heegaard Floer homology, Geom. Topol. 19 (2015) 525 MR3336273
24 R Lipshitz, P S Ozsvath, D P Thurston, Bordered Heegaard Floer homology, 1216, Amer. Math. Soc. (2018) MR3827056
25 D V Mathews, On contact categories, in preparation
26 D Mathews, Chord diagrams, contact-topological quantum field theory and contact categories, Algebr. Geom. Topol. 10 (2010) 2091 MR2745667
27 D V Mathews, Sutured Floer homology, sutured TQFT and noncommutative QFT, Algebr. Geom. Topol. 11 (2011) 2681 MR2846909
28 D V Mathews, Contact topology and holomorphic invariants via elementary combinatorics, Expo. Math. 32 (2014) 121 MR3206648
29 D V Mathews, Itsy bitsy topological field theory, Ann. Henri Poincaré 15 (2014) 1801 MR3245886
30 D V Mathews, Twisty itsy bitsy topological field theory, Internat. J. Math. 25 (2014) MR3275825
31 P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
32 P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
33 P Ozsváth, Z Szabó, Heegaard Floer homology and contact structures, Duke Math. J. 129 (2005) 39 MR2153455
34 P Ozsváth, Z Szabó, Heegaard diagrams and Floer homology, from: "International Congress of Mathematicians" (editors M Sanz-Solé, J Soria, J L Varona, J Verdera), Eur. Math. Soc. (2006) 1083 MR2275636
35 P Webb, An introduction to the representations and cohomology of categories, from: "Group representation theory" (editors M Geck, D Testerman, J Thévenaz), EPFL (2007) 149 MR2336640
36 D T Wise, From riches to raags : 3–manifolds, right-angled Artin groups, and cubical geometry, 117, Amer. Math. Soc. (2012) MR2986461
37 R Zarev, Bordered Floer homology for sutured manifolds, preprint (2009) arXiv:0908.1106
38 R Zarev, Joining and gluing sutured Floer homology, preprint (2010) arXiv:1010.3496