The mapping class group orbit of a multicurve

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dc.creatorVillemoes, Rasmus
dc.date2008-02-21
dc.date2009-03-16
dc.date.accessioned2026-07-07T12:52:12Z
dc.date.available2026-07-07T12:52:12Z
dc.descriptionGiven a set equipped with a transitive action of a group, we define the notion of an almost invariant coloring of the set. We consider the mapping class group orbit of a multicurve on a compact surface, and prove that in the case of genus at least two, no such almost invariant coloring exists. Conversely, in the case of a closed torus, one may find almost invariant colorings using arbitrarily many colors.
dc.description15 pages, 4 figures, LaTeX; corrected one bibliography entry
dc.identifierhttps://arxiv.org/abs/0802.3000
dc.identifierhttp://arxiv.org/abs/0802.3000
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223222
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.titleThe mapping class group orbit of a multicurve
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