Geometry of the mapping class groups I: Boundary amenability

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dc.creatorHamenstaedt, Ursula
dc.date2005-10-06
dc.date2008-03-19
dc.date.accessioned2026-07-07T09:27:24Z
dc.date.available2026-07-07T09:27:24Z
dc.descriptionWe construct a geometric model for the mapping class group M of a non-exceptional oriented surface of finite type and use it to show that the action of M on the compact Hausdorff space of complete geodesic laminations is topologically amenable. As a consequence, the Novikov higher signature conjecture holds for every subgroup of M.
dc.description59 pages. Section 5 simplified and corrected. Writing improved. Details added
dc.identifierhttps://arxiv.org/abs/math/0510116
dc.identifierhttp://arxiv.org/abs/math/0510116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157090
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20M34
dc.titleGeometry of the mapping class groups I: Boundary amenability
dc.typetext

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