Mathematical Research Letters

Volume 17 (2010)

Number 1

Odd Khovanov homology is mutation invariant

Pages: 1 – 10

DOI: http://dx.doi.org/10.4310/MRL.2010.v17.n1.a1

Author

Jonathan M. Bloom (Columbia University)

Abstract

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 Ozsváth-Szabó spectral sequence from reduced Khovanov homology to the Heegaard Floer homology of the branched double-cover.

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