Untwisting 3-strand torus knots
Geometric Topology
2021-04-06 v2
Abstract
We prove that the signature bound for the topological 4-genus of 3-strand torus knots is sharp, using McCoy's twisting method. We also show that the bound is off by at most 1 for 4-strand and 6-strand torus knots, and improve the upper bound on the asymptotic ratio between the topological 4-genus and the Seifert genus of torus knots from 2/3 to 14/27.
Keywords
Cite
@article{arxiv.1909.01003,
title = {Untwisting 3-strand torus knots},
author = {Sebastian Baader and Ian Banfield and Lukas Lewark},
journal= {arXiv preprint arXiv:1909.01003},
year = {2021}
}
Comments
9 pages, 3 figures, comments welcome. v2: corresponds to published version