On keen weakly reducible bridge spheres
Geometric Topology
2023-03-28 v2
Abstract
A bridge sphere is said to be keen weakly reducible if it admits a unique pair of disjoint compressing disks on opposite sides. In particular, such a bridge sphere is weakly reducible, not perturbed, and not topologically minimal in the sense of David Bachman. In terms of Jennifer Schultens' width complex, a link in bridge position with respect to a keen weakly reducible bridge sphere is distance one away from a local minimum. In this paper, we give infinitely many examples of keen weakly reducible bridge spheres for links in bridge position for
Cite
@article{arxiv.2009.11984,
title = {On keen weakly reducible bridge spheres},
author = {Puttipong Pongtanapaisan and Daniel Rodman},
journal= {arXiv preprint arXiv:2009.11984},
year = {2023}
}