From mapping class groups to automorphism groups of free groups

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dc.creatorWahl, Nathalie
dc.date2004-06-14
dc.date2005-01-27
dc.date.accessioned2026-07-07T08:54:24Z
dc.date.available2026-07-07T08:54:24Z
dc.descriptionWe show that the natural map from the mapping class groups of surfaces to the automorphism groups of free groups, induces an infinite loop map on the classifying spaces of the stable groups after plus construction. The proof uses automorphisms of free groups with boundaries which play the role of mapping class groups of surfaces with several boundary components.
dc.descriptionto appear in J. Lond. Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0406278
dc.identifierhttp://arxiv.org/abs/math/0406278
dc.identifierJ. London Math. Soc. (2) 72 (2005) no. 2, 510-524
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145917
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.titleFrom mapping class groups to automorphism groups of free groups
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