English

Volumes of Montesinos links

Geometric Topology 2016-03-09 v2

Abstract

We show that the volume of any Montesinos link can be bounded above and below in terms of the combinatorics of its diagram. This was known for Montesinos links with at most two tangles, and those with at least five tangles. We complete the result for the remaining cases.

Keywords

Cite

@article{arxiv.1502.07991,
  title  = {Volumes of Montesinos links},
  author = {Kathleen Finlinson and Jessica S. Purcell},
  journal= {arXiv preprint arXiv:1502.07991},
  year   = {2016}
}

Comments

41 pages, 37 figures. Version 2: Minor changes based on referee comments. To appear in the Pacific Journal of Mathematics