Torsion Elements in the Mapping Class Group of a Surface

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dc.creatorLuo, Feng
dc.date2000-04-08
dc.date.accessioned2026-07-07T04:34:40Z
dc.date.available2026-07-07T04:34:40Z
dc.descriptionGiven 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 $k$.
dc.description14 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0004048
dc.identifierhttp://arxiv.org/abs/math/0004048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58991
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry
dc.titleTorsion Elements in the Mapping Class Group of a Surface
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