478 citations · 2.9k across the 52 of their papers we have counts for
59 papers
Planar graphs deformations of bordered knot algebras
Peter Ozsvath, Zoltan Szabo
In an earlier paper, we introduced ``bordered knot algebras'', which are graded algebras indexed by a pair of integers (m,k). In a subsequent paper, we introduced a two-parameter f…
The pong algebra and the wrapped Fukaya category
Peter Ozsvath, Zoltan Szabo
The aim of this paper is to identify the pong algebra defined in our earlier work with a certain endomorphism algebra in the wrapped Fukaya category of the symmetric product of a d…
The pong algebra
Peter S. Ozsvath, Zoltan Szabo
In an earlier paper, we described bordered algebras for knot Floer homology. In this paper, we introduce a differential graded algebra, the pong algebra and compute the A-infinity…
Algebras with matchings and link Floer homology
Peter Ozsvath, Zoltan Szabo
We explain how to use bordered algebras to compute a version of link Floer homology. As a corollary, we also give a fast computation of the Thuston polytope for links in the three-…
Algebras with matchings and knot Floer homology
Zoltan Szabo, Peter Ozsvath
Knot Floer homology is a knot invariant defined using holomorphic curves. In more recent work, taking cues from bordered Floer homology,the authors described another knot invariant…
Bordered knot algebras with matchings
Peter S. Ozsvath, Zoltan Szabo
This paper generalizes the bordered-algebraic knot invariant introduced in an earlier paper, giving an invariant now with more algebraic structure. It also introduces signs to defi…