21 citations · 78 across the 9 of their papers we have counts for
8 papers · 1 filter
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…
Monopoles and lens space surgeries
Peter Kronheimer, Tomasz Mrowka, Peter Ozsvath +1
Monopole Floer homology is used to prove that real projective three-space cannot be obtained from Dehn surgery on a non-trivial knot in the three-sphere. To obtain this result, we…
On the Heegaard Floer homology of branched double-covers
Peter Ozsvath, Zoltan Szabo
Let be a link. We study the Heegaard Floer homology of the branched double-cover of , branched along . When is an alternating link, $\HFa$ of its…
Knot Floer homology, genus bounds, and mutation
Peter Ozsvath, Zolta Szabo
In an earlier paper, we introduced a collection of graded Abelian groups $\HFKa(Y,K)$ associated to knots in a three-manifold. The aim of the present paper is to investigate these…