A remark on Khovanov homology and two-fold branched covers
Geometric Topology
2009-07-14 v2
Abstract
Examples of knots and links distinguished by the total rank of their Khovanov homology but sharing the same two-fold branched cover are given. As a result, Khovanov homology does not yield an invariant of two-fold branched covers.
Cite
@article{arxiv.0808.2797,
title = {A remark on Khovanov homology and two-fold branched covers},
author = {Liam Watson},
journal= {arXiv preprint arXiv:0808.2797},
year = {2009}
}
Comments
6 pages, 2 figures. Version 2 corrects an error; the source includes a Mathematica notebook for the calculations in the paper