128 citations · 316 across the 15 of their papers we have counts for
4 papers · 2 filters
A combinatorial description of knot Floer homology
Ciprian Manolescu, Peter Ozsvath, Sucharit Sarkar
Given a grid presentation of a knot (or link) K in the three-sphere, we describe a Heegaard diagram for the knot complement in which the Heegaard surface is a torus and all element…
The Dehn surgery characterization of the trefoil and the figure eight knot
Peter Ozsvath, Zoltan Szabo
We give a Dehn surgery characterization of the trefoil and the figure eight knots. These results are gotten by combining surgery formulas in Heegaard Floer homology from an earlier…
Heegaard diagrams and Floer homology
Peter Ozsvath, Zoltan Szabo
We review the construction of Heegaard Floer homology for closed three-manifolds and also for knots and links in the three-sphere. We also discuss three applications of this invari…
Link Floer homology and the Thurston norm
Peter Ozsvath, Zoltan Szabo
We show that link Floer homology detects the Thurston norm of a link complement. As an application, we show that the Thurston polytope of an alternating link is dual to the Newton…