Mathematical Research Letters

Volume 17, Issue 1, January 2010 pp. 1-10.

Odd Khovanov homology is mutation invariant

Authors: Jonathan M. Bloom
Author institution: Columbia University

Summary: We prove that odd Khovanov homology is mutation invariant over $\zz$, and therefore that Khovanov homology is mutation invariant over $\zzt$. We also establish mutation invariance for the entire Ozsv\'ath-Szab\'o spectral sequence from reduced Khovanov homology to the Heegaard Floer homology of the branched double-cover.

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