On the maximal degree of the Khovanov homology
Geometric Topology
2017-01-18 v1
Abstract
It is known that the maximal homological degree of the Khovanov homology of a knot gives a lower bound of the minimal positive crossing number of the knot. In this paper, we show that the maximal homological degree of the Khovanov homology of a cabling of a knot gives a lower bound of the minimal positive crossing number of the knot.
Keywords
Cite
@article{arxiv.1701.04533,
title = {On the maximal degree of the Khovanov homology},
author = {Keiji Tagami},
journal= {arXiv preprint arXiv:1701.04533},
year = {2017}
}
Comments
6 pages, 1 figure