75 citations · 138 across the 8 of their papers we have counts for
4 papers · 2 filters
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…