Combinatorial rigidity in curve complexes and mapping class groups
几何拓扑
2007-05-23 v5 群论
摘要
In all possible cases, we prove that local embeddings between two curve complexes whose complexities do not increase from domain to codomain are induced by surface homeomorphism. This is our first main result. From this we can deduce our second, a strong local co-Hopfian result for mapping class groups.
引用
@article{arxiv.math/0503199,
title = {Combinatorial rigidity in curve complexes and mapping class groups},
author = {Kenneth J. Shackleton},
journal= {arXiv preprint arXiv:math/0503199},
year = {2007}
}
备注
15 pages, 3 figures. To appear in the Pacific Journal of Mathematics