478 citations · 2.5k across the 62 of their papers we have counts for
69 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…
Exotic definite four-manifolds with non-trivial fundamental group
Andras I. Stipsicz, Zoltan Szabo
Inspired by a recent result of Levine-Lidman-Piccirillo, we construct infinitely many exotic smooth structures on some closed four-manifolds with definite intersection form and fun…
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…
A note on thickness of knots
Andras I. Stipsicz, Zoltan Szabo
We introduce a numerical invariant β(K) of a knot K which measures how non-alternating K is. We prove an inequality between β(K) and the (knot Floer) thickness of K. As an applicat…
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-…