Torsion elements in the mapping class group of a surface

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43794

arXiv preprint math/0004048, 2000.4
Given a finite set of r points in a closed surface of genus r , we consider the torsion elements in the mapping class group of the surface leaving the finite set invariant. We show that the torsion elements generate the mapping class group if and only if r for some integer r .
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@inproceedings{feng2000torsion,
  title={Torsion elements in the mapping class group of a surface},
  author={Feng Luo},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205839300203358},
  booktitle={arXiv preprint math/0004048},
  year={2000},
}
Feng Luo. Torsion elements in the mapping class group of a surface. 2000. In arXiv preprint math/0004048. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205839300203358.
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