On 3-super bridge knots
Geometric Topology
2012-09-17 v1
Abstract
It is known that there are only finitely many knots with super bridge index 3. Jin and Jeon have provided a list of possible such candidates. However, they conjectured that the only knots with super bridge index 3 are trefoil and the figure eight knot. In this paper, we prove that the knot and the knot are also 3-super bridge knots by providing a polynomial representation of these knots in degree This also answers a question asked by Durfee and O'Shea in their paper on polynomial knots: is there any 5-crossing knot in degree 6?
Keywords
Cite
@article{arxiv.1209.3119,
title = {On 3-super bridge knots},
author = {Rama Mishra},
journal= {arXiv preprint arXiv:1209.3119},
year = {2012}
}
Comments
11 pages, 7 figures