闭曲面上超椭圆周期微分同胚的Dehn扭曲表示
几何拓扑
2020-01-01 v2
摘要
我们对有向闭曲面上由一对交换的周期微分同胚与超椭圆对合所生成的群进行了共轭分类。该结果可视为对 Ishizaka 关于超椭圆周期微分同胚映射类分类结果的精炼。作为应用,我们获得了超椭圆周期映射类的 Dehn 扭曲表示,其与 Ishizaka 所得表示密切相关。
引用
@article{arxiv.1911.02229,
title = {Dehn twist presentations of hyperelliptic periodic diffeomorphisms on closed surfaces},
author = {Norihisa Takahashi and Hiraku Nozawa},
journal= {arXiv preprint arXiv:1911.02229},
year = {2020}
}
备注
10 pages, 14 figures, Corrected the definition of the valency of a multiple orbit