Calculating Bar-Natan's characteristic two Khovanov homology
Geometric Topology
2007-05-23 v3 Quantum Algebra
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 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.
Cite
@article{arxiv.math/0411225,
title = {Calculating Bar-Natan's characteristic two Khovanov homology},
author = {Paul Turner},
journal= {arXiv preprint arXiv:math/0411225},
year = {2007}
}
Comments
18 pages, 12 figures; substantially re-written; now includes reduced theory; hypothesis removed from application