Boundary slope diameter and crossing number of 2-bridge knots
Geometric Topology
2007-05-23 v2
Abstract
We prove that for 2-bridge knots, the diameter, D, of the set of boundary slopes is twice the crossing number, c. This constitutes partial verification of a conjecture that, for all knots in S^3, D is at most 2c.
Cite
@article{arxiv.math/0510496,
title = {Boundary slope diameter and crossing number of 2-bridge knots},
author = {Thomas W. Mattman and Gabriel Maybrun and Kristin Robinson},
journal= {arXiv preprint arXiv:math/0510496},
year = {2007}
}
Comments
21 pages, 7 figures. v2 - No changes - we only wish to note that this is an early version of a paper to appear in The Osaka Journal of Mathematics