The next simplest hyperbolic knots
Geometric Topology
2007-05-23 v4
Abstract
We complete the project begun by Callahan, Dean and Weeks to identify all knots whose complements are in the SnapPea census of hyperbolic manifolds with seven or fewer tetrahedra. Many of these ``simple'' hyperbolic knots have high crossing number. We also compute their Jones polynomials.
Keywords
Cite
@article{arxiv.math/0311380,
title = {The next simplest hyperbolic knots},
author = {Abhijit Champanerkar and Ilya Kofman and Eric Patterson},
journal= {arXiv preprint arXiv:math/0311380},
year = {2007}
}
Comments
26 pages, published in Journal of Knot Theory and its Ramifications. Published version had the last term missing from some Dowker codes in Table 4, which have been corrected. Also, correction made in Table 1 for K7_80. (Thanks to David Boyd and Marc Culler for corrections.)