A survey of hyperbolic knot theory
Geometric Topology
2019-09-27 v1
Abstract
We survey some tools and techniques for determining geometric properties of a link complement from a link diagram. In particular, we survey the tools used to estimate geometric invariants in terms of basic diagrammatic link invariants. We focus on determining when a link is hyperbolic, estimating its volume, and bounding its cusp shape and cusp area. We give sample applications and state some open questions and conjectures.
Keywords
Cite
@article{arxiv.1708.07201,
title = {A survey of hyperbolic knot theory},
author = {David Futer and Efstratia Kalfagianni and Jessica S. Purcell},
journal= {arXiv preprint arXiv:1708.07201},
year = {2019}
}
Comments
20 pages, 5 figures