Unperturbed weakly reducible non-minimal bridge positions
Geometric Topology
2022-01-26 v1
Abstract
A bridge position of a knot is said to be perturbed if there exists a cancelling pair of bridge disks. Motivated by the examples of knots admitting unperturbed strongly irreducible non-minimal bridge positions due to Jang-Kobayashi-Ozawa-Takao, we derive examples of unperturbed weakly reducible non-minimal bridge positions. Also, a bridge version of Gordon's Conjecture is proposed: the connected sum of unperturbed bridge positions is unperturbed.
Keywords
Cite
@article{arxiv.2201.10153,
title = {Unperturbed weakly reducible non-minimal bridge positions},
author = {Jung Hoon Lee},
journal= {arXiv preprint arXiv:2201.10153},
year = {2022}
}
Comments
6 pages, 3 figures