The mapping class group cannot be realized by homeomorphisms

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dc.creatorMarkovic, Vladimir
dc.creatorSaric, Dragomir
dc.date2008-07-01
dc.date.accessioned2026-07-07T09:47:52Z
dc.date.available2026-07-07T09:47:52Z
dc.descriptionLet $M$ be a closed surface. By $\Homeo(M)$ we denote the group of orientation preserving homeomorphisms of $M$ and let $\MC(M)$ denote the Mapping class group. In this paper we complete the proof of the conjecture of Thurston that says that for any closed surface $M$ of genus $\g \ge 2$, there is no homomorphic section $\E:\MC(M) \to \Homeo(M)$ of the standard projection map $\Proj:\Homeo(M) \to \MC(M)$.
dc.description33 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0807.0182
dc.identifierhttp://arxiv.org/abs/0807.0182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164000
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject20H10
dc.titleThe mapping class group cannot be realized by homeomorphisms
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