Probing mapping class groups using arcs

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dc.creatorPenner, R. C.
dc.date2005-05-26
dc.date2006-04-29
dc.date.accessioned2026-07-07T06:40:05Z
dc.date.available2026-07-07T06:40:05Z
dc.descriptionThe action of the mapping class group of a surface on the collection of homotopy classes of disjointly embedded curves or arcs in the surface is discussed here as a tool for understanding Riemann's moduli space and its topological and geometric invariants. Furthermore, appropriate completions, elaborations, or quotients of the set of all such homotopy classes of curves or arcs give for instance Thurston's boundary for Teichmüller space or a combinatorial description of moduli space in terms of fatgraphs. Related open problems and questions are discussed.
dc.description21 pages, 6 figures, expanded version
dc.identifierhttps://arxiv.org/abs/math/0505595
dc.identifierhttp://arxiv.org/abs/math/0505595
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101309
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject32G15; 30F60; 05C99; 57N05;57M20;58F18
dc.titleProbing mapping class groups using arcs
dc.typetext

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