21 citations · 78 across the 9 of their papers we have counts for
5 papers · 2 filters
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…
On Heegaard Floer homology and Seifert fibered surgeries
Peter Ozsvath, Zoltan Szabo
We explore certain restrictions on knots in the three-sphere which admit non-trivial Seifert fibered surgeries. These restrictions stem from the Heegaard Floer homology for Seifert…