English

Lower bounds on boundary slope diameters for Montesinos knots

Geometric Topology 2007-05-23 v1

Abstract

In this paper, two lower bounds on the diameters of the boundary slope sets are given for Montesinos knots. One is described in terms of the minimal crossing numbers of the knots, and the other is related to the Euler characteristics of essential surfaces with the maximal/minimal boundary slopes.

Keywords

Cite

@article{arxiv.math/0703252,
  title  = {Lower bounds on boundary slope diameters for Montesinos knots},
  author = {Kazuhiro Ichihara and Shigeru Mizushima},
  journal= {arXiv preprint arXiv:math/0703252},
  year   = {2007}
}

Comments

24 pages, 6 figures