Calculating Bar-Natan's characteristic two Khovanov homology

2004/11/10 by Paul Turner, Turner, Paul
Mathematics · #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #math.GT #math.QA #msc:57M25

paper · pdf · doi:10.48550/arxiv.math/0411225

18 pages, 12 figures; substantially re-written; now includes reduced theory; hypothesis removed from application

arxiv created 2005/08/29 · arxiv updated 2009/12/01

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 mod 2 Khovanov homology. Some simple consequences are discussed.

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