Volume 20, issue 6 (2016)

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

Volume 22
Issue 6, 3145–3760
Issue 5, 2511–3144
Issue 4, 1893–2510
Issue 3, 1267–1891
Issue 2, 645–1266
Issue 1, 1–644

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
Combinatorial tangle Floer homology

Ina Petkova and Vera Vértesi

Geometry & Topology 20 (2016) 3219–3332
Abstract

We extend the idea of bordered Floer homology to knots and links in S3: Using a specific Heegaard diagram, we construct gluable combinatorial invariants of tangles in S3, D3, and I × S2. The special case of S3 gives back a stabilized version of knot Floer homology.

Keywords
tangles, knot Floer homology, bordered Floer homology, TQFT
Mathematical Subject Classification 2010
Primary: 57M27, 57R58
References
Publication
Received: 20 November 2014
Revised: 19 October 2015
Accepted: 19 November 2015
Published: 21 December 2016
Proposed: Ciprian Manolescu
Seconded: Ronald Stern, Ian Agol
Authors
Ina Petkova
Department of Mathematics
Dartmouth College
Hanover, NH 03755
United States
http://www.math.dartmouth.edu/~ina/
Vera Vértesi
Institut de Recherche Mathématique Avancée
Université de Strasbourg
7 rue René Decartes
67087 Strasbourg
France
http://www-irma.u-strasbg.fr/~vertesi/