Higher Steenrod squares for Khovanov homology
Algebraic Topology
2019-04-17 v3 Geometric Topology
Abstract
We describe stable cup-i products on the cochain complex with coefficients of any augmented semi-simplicial object in the Burnside category. An example of such an object is the Khovanov functor of Lawson, Lipshitz and Sarkar. Thus we obtain explicit formulas for cohomology operations on the Khovanov homology of any link.
Keywords
Cite
@article{arxiv.1902.02839,
title = {Higher Steenrod squares for Khovanov homology},
author = {Federico Cantero Morán},
journal= {arXiv preprint arXiv:1902.02839},
year = {2019}
}
Comments
60 pages, 2 figures. v3: Changes in Sections 4.3 and 5 + minor changes