A Presentation of the Mapping Class Groups

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dc.creatorLuo, Feng
dc.date1998-01-07
dc.date.accessioned2026-07-07T05:23:31Z
dc.date.available2026-07-07T05:23:31Z
dc.descriptionUsing the works of Gervais, Harer, Hatcher and Thurston and others, we show that the mapping class group of a compact orientable surface has a presentation so that the generators are the set of all Dehn twists and the relations are supported in subsurfaces homeomorphic to the one-holed torus or the four-holed sphere. It turns out that all the relations were discovered by Dehn in 1938.
dc.identifierhttps://arxiv.org/abs/math/9801025
dc.identifierhttp://arxiv.org/abs/math/9801025
dc.identifierMathematical Research Letters, Vol. 4, 1997, 735-739.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76465
dc.subjectGeometric Topology
dc.subject57
dc.titleA Presentation of the Mapping Class Groups
dc.typetext

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