Calculating Bar-Natan's characteristic two Khovanov homology

Paul R. Turner

doi:10.1142/S0218216506005111

Calculating Bar-Natan's characteristic two Khovanov homology

Paul R. Turner

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

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 B₂-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. © World Scientific Publishing Company.

Original language	English
Pages (from-to)	1335-1356
Number of pages	22
Journal	Journal of Knot Theory and its Ramifications
Volume	15
Issue number	10
DOIs	https://doi.org/10.1142/S0218216506005111
Publication status	Published - Dec 2006

Keywords

Bar-Natan theory
Khovanov homology
Link homology
Spectral sequence

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10.1142/S0218216506005111

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AB - 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 B2-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. © World Scientific Publishing Company.

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KW - Link homology

KW - Spectral sequence

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Calculating Bar-Natan's characteristic two Khovanov homology

Abstract

Keywords

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