Functoriality of Khovanov homology
Algebraic Topology
2015-08-19 v3 Geometric Topology
Abstract
In this paper we prove that every Khovanov homology associated to a Frobenius algebra of rank can be modified in such a way as to produce a TQFT on oriented links, that is a monoidal functor from the category of cobordisms of oriented links to the homotopy category of complexes.
Keywords
Cite
@article{arxiv.1505.04545,
title = {Functoriality of Khovanov homology},
author = {Pierre Vogel},
journal= {arXiv preprint arXiv:1505.04545},
year = {2015}
}
Comments
61 pages, corrected typos