The next simplest hyperbolic knots
几何拓扑
2007-05-23 v4
摘要
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.
关键词
引用
@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}
}
备注
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.)