Calculating Bar-Natan's characteristic two Khovanov homology

Paul R. Turner

Research output: Contribution to journalArticle

20 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 languageEnglish
Pages (from-to)1335-1356
Number of pages22
JournalJournal of Knot Theory and its Ramifications
Volume15
Issue number10
DOIs
Publication statusPublished - Dec 2006

Keywords

  • Bar-Natan theory
  • Khovanov homology
  • Link homology
  • Spectral sequence

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