Does Khovanov homology detect the unknot?

Abstract

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 satellite knots, including the Whitehead double, detects the unknot.

7 pages, 2 figures

References in corpus (1)

• Khovanov homology of the 2-cable detects the unknot