二桥链环补中二桥球面上的同伦等价简单闭曲线 (I)
群论
2013-10-01 v4 几何拓扑
摘要
本文及其两篇续篇给出了二桥链环补中二桥球面上的两条本质简单闭曲线在链环补中同伦的充要条件。本文处理二桥链环为 -环面链环的情形,此时会出现更多的同伦情形,其续篇将处理其余情形。
引用
@article{arxiv.1010.2232,
title = {Homotopically equivalent simple loops on 2-bridge spheres in 2-bridge link complements (I)},
author = {Donghi Lee and Makoto Sakuma},
journal= {arXiv preprint arXiv:1010.2232},
year = {2013}
}
备注
38 pages, 8 figures; updated version, incorporating the referee's comments; to appear in Geom. Dedicata