A knot with destabilized bridge spheres of arbitrarily high bridge number
Geometric Topology
2017-05-17 v2
Abstract
We show that there exists an infinite family of knots, each of which has, for each integer k>=0, a destabilized (2k+5)-bridge sphere. We also show that, for each integer n>=4, there exists a knot with a destabilized 3-bridge sphere and a destabilized n-bridge sphere.
Keywords
Cite
@article{arxiv.1501.06263,
title = {A knot with destabilized bridge spheres of arbitrarily high bridge number},
author = {Yeonhee Jang and Tsuyoshi Kobayashi and Makoto Ozawa and Kazuto Takao},
journal= {arXiv preprint arXiv:1501.06263},
year = {2017}
}
Comments
20 pages, 17 figures, v2: minor corrections throughout the paper