Dynamics of the mapping class group action on the variety of PSL(2,C) characters

dc.creatorSouto, Juan
dc.creatorStorm, Peter
dc.date2005-04-22
dc.date2009-02-28
dc.date.accessioned2026-07-07T12:47:17Z
dc.date.available2026-07-07T12:47:17Z
dc.descriptionWe study the action of the mapping class group Mod(S) on the boundary dQ of quasifuchsian space Q. Among other results, Mod(S) is shown to be topologically transitive on the subset C in dQ of manifolds without a conformally compact end. We also prove that any open subset of the character variety X(pi_1(S),SL(2,C)) intersecting dQ does not admit a nonconstant Mod(S)-invariant meromorphic function. This is related to a question of Goldman.
dc.descriptionThis is the version published by Geometry & Topology on 11 July 2006
dc.identifierhttps://arxiv.org/abs/math/0504474
dc.identifierhttp://arxiv.org/abs/math/0504474
dc.identifierGeom. Topol. 10 (2006) 715-736
dc.identifierdoi:10.2140/gt.2006.10.715
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221669
dc.subjectGeometric Topology
dc.subject57M50, 58D27
dc.titleDynamics of the mapping class group action on the variety of PSL(2,C) characters
dc.typetext

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