On Khovanov complexes
Geometric Topology
2020-04-09 v1 Quantum Algebra
Abstract
In this paper, we discuss a proof of the isotopy invariance of a parametrized Khovanov link homology including categorifications of the Jones polynomial and the Kauffman bracket polynomial though it is a known fact. In order to present a proof easy-to-follow, we give an explicit description of retractions and chain homotopies between complexes to induce the invariance under isotopy of links. This is a refined version of arXiv: 0907.2104.
Cite
@article{arxiv.2004.03746,
title = {On Khovanov complexes},
author = {Noboru Ito},
journal= {arXiv preprint arXiv:2004.03746},
year = {2020}
}
Comments
34 pages, 5 figures