Large volume fibred knots of fixed genus
Geometric Topology
2023-08-16 v3
Abstract
We show that, for hyperbolic fibred knots in the three-sphere, the volume and the genus are unrelated. Furthermore, for such knots, the volume is unrelated to strong quasipositivity and Seifert form.
Cite
@article{arxiv.2208.02358,
title = {Large volume fibred knots of fixed genus},
author = {Kenneth L. Baker and David Futer and Jessica S. Purcell and Saul Schleimer},
journal= {arXiv preprint arXiv:2208.02358},
year = {2023}
}
Comments
6 pages, 1 figure - v3, author-final version before publication in Math. Res. Lett