Torsion Elements in the Mapping Class Group of a Surface

Feng Luo

Torsion Elements in the Mapping Class Group of a Surface

Geometric Topology 2007-05-23 v1 Algebraic Geometry

Authors: Feng Luo

Abstract

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 $k$ .

Keywords

mapping class groups of surfaces mapping class groups algebraic varieties

Cite

@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}
}

Comments

14 pages, 6 figures

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