Exact volume of hyperbolic 2--bridge links
Geometric Topology
2015-06-16 v3
Abstract
W. Thurston suggested a method for computing hyperbolic volume of hyperbolic 3-manifolds, based on a triangulation of the manifold. The method was implemented by J. Weeks in the program SnapPea, which produces a decimal approximation as a result. For hyperbolic 2-bridge links, we give formulae that allow one to find the exact volume, i.e. to construct a polynomial and to find volume as an analytic function of one of its roots. The computation is performed directly from a reduced, alternating link diagram.
Keywords
Cite
@article{arxiv.1211.5089,
title = {Exact volume of hyperbolic 2--bridge links},
author = {Anastasiia Tsvietkova},
journal= {arXiv preprint arXiv:1211.5089},
year = {2015}
}
Comments
11 pages, 5 figures. This version contains minor text edits. It is to appear in Comm. Anal. Geom