Odd Khovanov homology is mutation invariant

Abstract

We define a link homology theory that is readily seen to be both isomorphic to reduced odd Khovanov homology and fully determined by data impervious to Conway mutation. This gives an elementary proof that odd Khovanov homology is mutation invariant, and therefore that mod 2 Khovanov homology is mutation invariant. We also establish mutation invariance for the entire Ozsvath-Szabo spectral sequence from reduced Khovanov homology to the Heegaard Floer homology of the branched double cover.

8 pages, 4 figures (modified intro and remarks)

References in corpus (2)

• Khovanov homology, open books, and tight contact structures
• A remark on Khovanov homology and two-fold branched covers

Cited by in corpus (2)

• Mutation invariance of Khovanov homology over ${\mathbb{F}}_2$
• A remark on Khovanov homology and two-fold branched covers