解结隧道的长度
几何拓扑
2014-10-01 v2
摘要
我们证明存在具有任意长解结隧道的隧道数为一的双曲3-流形。这为 Colin Adams 的一个老问题提供了否定回答。
引用
@article{arxiv.0812.0858,
title = {The length of unknotting tunnels},
author = {Daryl Cooper and Marc Lackenby and Jessica S. Purcell},
journal= {arXiv preprint arXiv:0812.0858},
year = {2014}
}
备注
20 pages, 6 figures. 20 pages, 6 figures. Daryl Cooper added as author. V2 contains two new sections, including a second proof of the main result, and a proof that the result holds for knots in homology spheres