70 citations · 162 across the 13 of their papers we have counts for
25 papers
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…
Small Exotic 4-manifolds with b_2^+=3
Andras I Stipsicz, Zoltan Szabo
We construct an infinite family of simply connected, pairwise nondiffeomorphic 4-manifolds, all homeomorphic to 3CP^2 blown up at 9 points.
Exotic smooth structures on $CP^2#5{\bar CP^2}$
Jongil Park, Andras I Stipsicz, Zoltan Szabo
Motivated by a construction of Fintushel and Stern, we show that the topological 4--manifold $CP^2#5{\bar CP^2}$ supports infinitely many distinct smooth structures.
On Park's exotic smooth four-manifolds
Peter Ozsvath, Zoltan Szabo
In a recent paper, Park constructs certain exotic simply-connected four-manifolds with small Euler characteristics. Our aim here is to prove that the four-manifolds in his construc…
Heegaard diagrams and holomorphic disks
Peter Ozsvath, Zoltan Szabo
A three-manifold equipped with a Heegaard diagram can be used to set up a Floer homology theory whose differential counts pseudo-holomorphic disks in the -fold symmetric product…
Knots with unknotting number one and Heegaard Floer homology
Peter Ozsvath, Zoltan Szabo
We use Heegaard Floer homology to give obstructions to unknotting a knot with a single crossing change. These restrictions are particularly useful in the case where the knot in que…