Khovanov Homology and Conway Mutation

Abstract

We present an easy example of mutant links with different Khovanov homology. The existence of such an example is important because it shows that Khovanov homology cannot be defined with a skein rule similar to the skein relation for the Jones polynomial.

9 pages, 5 figures

Cited by in corpus (13)

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• Mutation invariance of Khovanov homology over ${\mathbb{F}}_2$
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• Contributions to Khovanov Homology
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• Khovanov-Rozansky Homology and Conway Mutation
• Where the Links--Gould invariant first fails to distinguish nonmutant prime knots