75 citations · 469 across the 34 of their papers we have counts for
5 papers · 1 filter
On sutured Floer homology and the equivalence of Seifert surfaces
Matthew Hedden, Andras Juhasz, Sucharit Sarkar
We study the sutured Floer homology invariants of the sutured manifold obtained by cutting a knot complement along a Seifert surface, R. We show that these invariants are finer tha…
On knot Floer homology and cabling II
Matthew Hedden
We continue our study of the knot Floer homology invariants of cable knots. For large |n|, we prove that many of the filtered subcomplexes in the knot Floer homology filtration ass…
Does Khovanov homology detect the unknot?
Matthew Hedden, Liam Watson
We determine a wide class of knots, which includes unknotting number one knots, within which Khovanov homology detects the unknot. A corollary is that the Khovanov homology of many…
Khovanov homology of the 2-cable detects the unknot
Matthew Hedden
We prove that the Khovanov homology of the 2-cable detects the unknot. A corollary is that Khovanov's categorification of the 2-colored Jones polynomial detects the unknot.
Some remarks on cabling, contact structures, and complex curves
Matthew Hedden
We determine the relationship between the contact structure induced by a fibered knot, K, in the three-sphere and the contact structures induced by its various cables. Understandin…