Volume 16, issue 1 (2016)

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

Volume 19
Issue 7, 3217–3753
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
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

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

Bohua Zhan

Algebraic & Geometric Topology 16 (2016) 231–266
Abstract

We give a combinatorial proof of the quasi-invertibility of CFDD̂(IZ) in bordered Heegaard Floer homology, which implies a Koszul self-duality on the dg-algebra A(Z), for each pointed matched circle Z. We do this by giving an explicit description of a rank 1 model for CFAÂ(IZ), the quasi-inverse of CFDD̂(IZ). To obtain this description we apply homological perturbation theory to a larger, previously known model of CFAÂ(IZ).

Keywords
bordered Heegaard Floer homology
Mathematical Subject Classification 2010
Primary: 57R58
Secondary: 57R56
Supplementary material

Cancellation diagrams

References
Publication
Received: 27 May 2014
Revised: 22 May 2015
Accepted: 5 June 2015
Published: 23 February 2016
Authors
Bohua Zhan
Department of Mathematics
Massachusetts Institute of Technology
Building E18, Room 306
77 Massachusetts Avenue
Cambridge, MA 02139-4307
USA