Torsion Elements in the Mapping Class Group of a Surface

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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 $k$.
14 pages, 6 figures

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Geometric Topology, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/58991

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0004048
 http://arxiv.org/abs/math/0004048

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arXiv