The 500 simplest hyperbolic knots
Geometric Topology
2016-08-02 v3
Abstract
We identify all hyperbolic knots whose complements are in the census of orientable one-cusped hyperbolic manifolds with eight ideal tetrahedra. We also compute their Jones polynomials.
Keywords
Cite
@article{arxiv.1307.4439,
title = {The 500 simplest hyperbolic knots},
author = {Abhijit Champanerkar and Ilya Kofman and Timothy Mullen},
journal= {arXiv preprint arXiv:1307.4439},
year = {2016}
}
Comments
Many knot diagrams simplified using Culler and Dunfield's Spherogram. To appear in J. Knot Theory Ramifications. 29 pages