A remark on Khovanov homology and two-fold branched covers

Abstract

Examples of knots and links distinguished by the total rank of their Khovanov homology but sharing the same two-fold branched cover are given. As a result, Khovanov homology does not yield an invariant of two-fold branched covers.

6 pages, 2 figures. Version 2 corrects an error; the source includes a Mathematica notebook for the calculations in the paper

References in corpus (2)

• Odd Khovanov homology is mutation invariant
• Mutation invariance of Khovanov homology over ${\mathbb{F}}_2$

Cited by in corpus (1)

• Odd Khovanov homology is mutation invariant