Volumes of Montesinos links

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.

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

References in corpus (2)

• The Jones polynomial and graphs on surfaces
• Angled decompositions of arborescent link complements

Cited by in corpus (3)

• A survey of hyperbolic knot theory
• Torsion in Kauffman bracket skein module of a $4$-strand Montesinos knot exterior
• State graphs and fibered state surfaces