70 citations · 157 across the 11 of their papers we have counts for
6 papers · 1 filter
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…
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…
Absolutely Graded Floer homologies and intersection forms for four-manifolds with boundary
Peter S Ozsvath, Zoltan Szabo
In an earlier paper (math.SG/0110169), we introduced absolute gradings on the three-manifold invariants developed in math.SG/0101206 and math.SG/0105202. Coupled with the surgery l…
Holomorphic disks and three-manifold invariants: properties and applications
Peter Ozsvath, Zoltan Szabo
In an earlier paper (math.SG/0101206), we introduced Floer homology theories associated to closed, oriented three-manifolds Y and SpinC structures. In the present paper, we give ca…