Automorphisms of surface braid groups
几何拓扑
2007-05-23 v1 群论
摘要
In this paper, we prove that each automorphism of a surface braid group is induced by a homeomorphism of the underlying surface, provided that this surface is a closed, connected, orientable surface of genus at least 2, and the number of strings is at least three. This result generalizes previous results for classical braid groups, mapping class groups, and Torelli groups.
引用
@article{arxiv.math/0306069,
title = {Automorphisms of surface braid groups},
author = {Elmas Irmak and Nikolai V. Ivanov and John D. McCarthy},
journal= {arXiv preprint arXiv:math/0306069},
year = {2007}
}
备注
21 pages, 0 figures