Combinatorial tangle Floer homology

Petkova, Ina; Vértesi, Vera

doi:10.2140/gt.2016.20.3219

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Combinatorial tangle Floer homology

Ina Petkova and Vera Vértesi

Geometry & Topology 20 (2016) 3219–3332

DOI: 10.2140/gt.2016.20.3219

Abstract

We extend the idea of bordered Floer homology to knots and links in $S^{3}$ : Using a specific Heegaard diagram, we construct gluable combinatorial invariants of tangles in $S^{3}$ , $D^{3}$ , and $I \times S^{2}$ . The special case of $S^{3}$ 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/

Volume 20, issue 6 (2016)