单孔亏格二曲面的Torelli复形的自同构
群论
2015-02-02 v4 几何拓扑
摘要
设S是一个具有恰好一个边界分量的亏格二连通紧致可定向曲面。我们研究S的Torelli复形的自同构，并描述S的Torelli群的有限指数子群之间的任何同构。更一般地，我们研究从S的Torelli复形到自身的超单射映射，并证明S的Torelli群的任何有限指数子群都是co-Hopf的。
引用
@article{arxiv.1009.0568,
title = {Automorphisms of the Torelli complex for the one-holed genus two surface},
author = {Yoshikata Kida and Saeko Yamagata},
journal= {arXiv preprint arXiv:1009.0568},
year = {2015}
}
备注
28 pages, 21 figures. Proof was largely modified because some hexagons had been overlooked (v3), Figures added and exposition improved (v4)