Volume 23, issue 2 (2019)

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

Volume 29
Issue 2, 549–862
Issue 1, 1–548

Volume 28, 9 issues

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