478 citations · 2.5k across the 62 of their papers we have counts for
6 papers · 2 filters
Legendrian knots, transverse knots and combinatorial Floer homology
Peter Ozsvath, Zoltan Szabo, Dylan Thurston
Using the combinatorial approach to knot Floer homology, we define an invariant for Legendrian knots in the three-sphere, which takes values in link Floer homology. This invariant…
Rational blow-downs and smoothings of surface singularities
Andras I. Stipsicz, Zoltan Szabo, Jonathan Wahl
In this paper we give a necessary combinatorial condition for a negative--definite plumbing tree to be suitable for rational blow--down, or to be the graph of a complex surface sin…
On combinatorial link Floer homology
Ciprian Manolescu, Peter Ozsvath, Zoltan Szabo +1
Link Floer homology is an invariant for links defined using a suitable version of Lagrangian Floer homology. In an earlier paper, this invariant was given a combinatorial descripti…
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…