Critical Bridge Spheres for Links with Arbitrarily Many Bridges
Geometric Topology
2019-06-11 v1
Abstract
We show that for every integer , there exists a link in a -bridge position with respect to a critical bridge sphere. In fact, for each , we construct an infinite family of links which we call square whose bridge spheres are critical.
Cite
@article{arxiv.1906.03483,
title = {Critical Bridge Spheres for Links with Arbitrarily Many Bridges},
author = {Puttipong Pongtanapaisan and Daniel Rodman},
journal= {arXiv preprint arXiv:1906.03483},
year = {2019}
}
Comments
17 pages, 22 figures