Volume 16, issue 5 (2016)

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

Volume 19
Issue 2, 533–1078
Issue 1, 1–532

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Other MSP Journals
Combinatorial proofs in bordered Heegaard Floer homology

Bohua Zhan

Algebraic & Geometric Topology 16 (2016) 2571ÔÇô2636
Bibliography
1 J E Andersen, A J Bene, R C Penner, Groupoid extensions of mapping class representations for bordered surfaces, Topology Appl. 156 (2009) 2713 MR2556030
2 A J Bene, A chord diagrammatic presentation of the mapping class group of a once bordered surface, Geom. Dedicata 144 (2010) 171 MR2580425
3 S Cautis, J Kamnitzer, Knot homology via derived categories of coherent sheaves, I : the ­Łö░­Łöę(2)ÔÇôcase, Duke Math. J. 142 (2008) 511 MR2411561
4 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
5 M Khovanov, A functor-valued invariant of tangles, Algebr. Geom. Topol. 2 (2002) 665 MR1928174
6 M Khovanov, P Seidel, Quivers, Floer cohomology, and braid group actions, J. Amer. Math. Soc. 15 (2002) 203 MR1862802
7 M Khovanov, R Thomas, Braid cobordisms, triangulated categories, and flag varieties, Homology Homotopy Appl. 9 (2007) 19 MR2366943
8 A S Levine, Knot doubling operators and bordered Heegaard Floer homology, J. Topol. 5 (2012) 651 MR2971610
9 R Lipshitz, P S Ozsv├íth, D P Thurston, A faithful linear-categorical action of the mapping class group of a surface with boundary, J. Eur. Math. Soc. 15 (2013) 1279 MR3055762
10 R Lipshitz, P Ozsv├íth, D P Thurston, Bordered Heegaard Floer homology: invariance and pairing, preprint (2014) arXiv:0810.0687
11 R Lipshitz, P S Ozsv├íth, D P Thurston, Computing HF by factoring mapping classes, Geom. Topol. 18 (2014) 2547 MR3285222
12 R Lipshitz, P S Ozsv├íth, D P Thurston, Bimodules in bordered Heegaard Floer homology, Geom. Topol. 19 (2015) 525 MR3336273
13 P Ozsv├íth, A I Stipsicz, Z Szab├│, Combinatorial Heegaard Floer homology and nice Heegaard diagrams, Adv. Math. 231 (2012) 102 MR2935385
14 P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
15 P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
16 S Sarkar, J Wang, An algorithm for computing some Heegaard Floer homologies, Ann. of Math. 171 (2010) 1213 MR2630063
17 P Seidel, I Smith, A link invariant from the symplectic geometry of nilpotent slices, Duke Math. J. 134 (2006) 453 MR2254624
18 P Seidel, R Thomas, Braid group actions on derived categories of coherent sheaves, Duke Math. J. 108 (2001) 37 MR1831820
19 K Siegel, A geometric proof of a faithful linear-categorical surface mapping class group action, (2011) arXiv:1108.3676
20 S Suzuki, On homeomorphisms of a 3ÔÇôdimensional handlebody, Canad. J. Math. 29 (1977) 111 MR0433433
21 B Zhan, Explicit Koszul-dualizing bimodules in bordered Heegaard Floer homology, Algebr. Geom. Topol. 16 (2016) 231 MR3470701