Khovanov homology of the 2-cable detects the unknot

Abstract

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.

arXiv comment4 pages, no figures

References in corpus (3)

• Floer homology and knot complements
• Torsion of the Khovanov homology
• On the Colored Jones Polynomial, Sutured Floer homology, and Knot Floer homology

Cited by in corpus (1)

• Does Khovanov homology detect the unknot?