曲线复形是刚性的
几何拓扑
2019-12-19 v2
摘要
曲线复形 (complex of curves) 的任何拟等距 (quasi-isometry) 都与某个单纯自同构 (simplicial automorphism) 相距有界距离。作为推论，曲线复形的拟等距类型决定了曲面的同胚类型。
引用
@article{arxiv.0710.3794,
title = {Curve complexes are rigid},
author = {Kasra Rafi and Saul Schleimer},
journal= {arXiv preprint arXiv:0710.3794},
year = {2019}
}
评论
20 pages, two figures, revised to reflect referee comments