The average genus of oriented rational links with a given crossing number
Geometric Topology
2022-04-28 v1
Abstract
In this paper, we enumerate the number of oriented rational knots and the number of oriented rational links with any given crossing number and minimum genus. This allows us to obtain a precise formula for the average minimal genus of oriented rational knots and links with any given crossing number.
Keywords
Cite
@article{arxiv.2204.12538,
title = {The average genus of oriented rational links with a given crossing number},
author = {Dawn Ray and Yuanan Diao},
journal= {arXiv preprint arXiv:2204.12538},
year = {2022}
}
Comments
11 pages, 9 figures, 3 tables