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CALCULATING BAR-NATAN'S CHARACTERISTIC TWO KHOVANOV HOMOLOGY

PAUL R. TURNER

School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh EH14 4AS, Scotland

Current address: Institut de Recherche Mathématique Avancée, 7 rue René Descartes, 67000 Strasbourg, France.

https://doi.org/10.1142/S0218216506005111Cited by:28 (Source: Crossref)

Abstract

We investigate Bar-Natan's characteristic two Khovanov link homology theory studying both the filtered and bi-graded theories. The filtered theory is computed explicitly and the bi-graded theory analysed by setting up a family of spectral sequences. The E₂-pages can be described in terms of groups arising from the action of a certain endomorphism on 𝔽₂-Khovanov homology. Some simple consequences are discussed.

Keywords:

AMSC: 57M25, 57M27

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