Calculating Bar-Natan's characteristic two Khovanov homology

Details Calculating Bar-Natan's characteristic two Khovanov homology Calculating Bar-Natan's characteristic two Khovanov homology

2004-11-10

arxiv.org/abs/math/0411225v3

Mathematics

Geometric Topology

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

Scientific paper

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 E_2-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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