Torsion Elements in the Mapping Class Group of a Surface

Feng Luo

Torsion Elements in the Mapping Class Group of a Surface

几何拓扑 2007-05-23 v1 代数几何

作者: Feng Luo

摘要

Given a finite set of $r$ points in a closed surface of genus $g$ , 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 $(g, r) \neq (2, 5k+4)$ for some integer $k$ .

关键词

mapping class groups of surfaces mapping class groups algebraic varieties

引用

@article{arxiv.math/0004048,
  title  = {Torsion Elements in the Mapping Class Group of a Surface},
  author = {Feng Luo},
  journal= {arXiv preprint arXiv:math/0004048},
  year   = {2007}
}

备注

14 pages, 6 figures

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