478 citations · 2.5k across the 62 of their papers we have counts for
7 papers · 1 filter
Holomorphic disks and genus bounds
Peter Ozsvath, Zoltan Szabo
We prove that, like the Seiberg-Witten monopole homology, the Heegaard Floer homology for a three-manifold determines its Thurston norm. As a consequence, we show that knot Floer h…
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…
On knot Floer homology and lens space surgeries
Peter Ozsvath, Zoltan Szabo
In an earlier paper, we used the absolute grading on Heegaard Floer homology to give restrictions on knots in which admit lens space surgeries. The aim of the present article…
Knot Floer homology and the four-ball genus
Peter Ozsvath, Zoltan Szabo
We use the knot filtration on the Heegaard Floer complex to define an integer invariant tau(K) for knots. Like the classical signature, this invariant gives a homomorphism from the…