478 citations · 2.5k across the 62 of their papers we have counts for
9 papers · 1 filter
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…
Planar open books and Floer homology
Peter Ozsvath, Andras I. Stipsicz, Zoltan Szabo
Giroux has described a correspondence between open book decompositions on a 3--manifold and contact structures. In this paper we use Heegaard Floer homology to give restrictions on…
Heegaard Floer homologies and contact structures
Peter Ozsvath, Zoltan Szabo
Given a contact structure on a closed, oriented three-manifold , we describe an invariant which takes values in the three-manifold's Floer homology $\HFa$. This invariant vanish…
On the Floer homology of plumbed three-manifolds
Peter Ozsvath, Zoltan Szabo
We calculate the Heegaard Floer homologies for three-manifolds obtained by plumbings of spheres specified by certain graphs. Our class of graphs is sufficiently large to describe,…
Holomorphic triangle invariants and the topology of symplectic four-manifolds
P. S. Ozsvath, Z. Szabo
This article analyzes the interplay between symplectic geometry in dimension four and the invariants for smooth four-manifolds constructed using holomorphic triangles introduced in…
Holomorphic triangles and invariants for smooth four-manifolds
Peter S Ozsvath, Zoltan Szabo
The aim of this article is to introduce invariants of oriented, smooth, closed four-manifolds, built using the Floer homology theories defined in two earlier papers (math.SG/010120…