478 citations · 2.5k across the 62 of their papers we have counts for
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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…
Heegaard Floer homology and alternating knots
Peter Ozsvath, Zoltan Szabo
In an earlier paper, we introduced a knot invariant for a null-homologous knot K in an oriented three-manifold Y, which is closely related to the Heegaard Floer homology of Y. In t…
Holomorphic disks and knot invariants
Peter Ozsvath, Zoltan Szabo
We define a Floer-homology invariant for knots in an oriented three-manifold, closely related to the holomorphic disk Floer homologies for three-manifolds defined in an earlier pap…
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…