478 citations · 2.5k across the 62 of their papers we have counts for
4 papers · 1 filter
Odd Khovanov homology
Peter Ozsvath, Jacob Rasmussen, Zoltan Szabo
We describe an invariant of links in the three-sphere which is closely related to Khovanov's Jones polynomial homology. Our construction replaces the symmetric algebra appearing in…
On the skein exact squence for knot Floer homology
Peter Ozsvath, Zoltan Szabo
The aim of this paper is to study the skein exact sequence for knot Floer homology. We prove precise graded version of this sequence, and also one using $\HFm$. Moreover, a complet…
A cube of resolutions for knot Floer homology
Peter Ozsvath, Zoltan Szabo
We develop a skein exact sequence for knot Floer homology, involving singular knots. This leads to an explicit, algebraic description of knot Floer homology in terms of a braid pro…
Floer homology and singular knots
Peter Ozsvath, Andras I. Stipsicz, Zoltan Szabo
We define Floer homology theories for oriented, singular knots in S^3 and show that one of these theories can be defined combinatorially for planar singular knots.