#### Volume 20, issue 6 (2016)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page 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 ${S}^{3}$: Using a specific Heegaard diagram, we construct gluable combinatorial invariants of tangles in ${S}^{3}$, ${D}^{3}$, and $I×{S}^{2}$. 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