Genera and crossing numbers of $2$-bridge knots
Geometric Topology
2022-04-21 v1
Abstract
In this paper, we determine the average genus of all the -bridge knots with a given crossing number. As a consequence, we obtain the oblique asymptote of this value as the crossing number grows.
Cite
@article{arxiv.2204.09238,
title = {Genera and crossing numbers of $2$-bridge knots},
author = {Masaaki Suzuki and Anh T. Tran},
journal= {arXiv preprint arXiv:2204.09238},
year = {2022}
}
Comments
18 pages, 1 table