Distortion and the bridge distance of knots
Geometric Topology
2020-03-25 v2
Abstract
We extend techniques due to Pardon to show that there is a lower bound on the distortion of a knot in proportional to the minimum of the bridge distance and the bridge number of the knot. We also exhibit an infinite family of knots for which the minimum of the bridge distance and the bridge number is unbounded and Pardon's lower bound is constant.
Cite
@article{arxiv.1705.08490,
title = {Distortion and the bridge distance of knots},
author = {Ryan Blair and Marion Campisi and Scott A. Taylor and Maggy Tomova},
journal= {arXiv preprint arXiv:1705.08490},
year = {2020}
}
Comments
19 pages, 5 figures. Version 2 incorporates significant improvements in exposition. The paper has been accepted by Journal of Topology