Braid ordering and knot genus
Geometric Topology
2009-12-10 v3
Abstract
The genus of knots is a one of the fundamental invariant and can be seen as a complexity of knots. In this paper, we give a lower bound of genus using Dehornoy floor, which is a measure of complexity of braids in terms of braid ordering.
Keywords
Cite
@article{arxiv.0805.2042,
title = {Braid ordering and knot genus},
author = {Tetsuya Ito},
journal= {arXiv preprint arXiv:0805.2042},
year = {2009}
}
Comments
10 pages, 6 figures, the main result is improved