The mapping class group orbit of a multicurve

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Given 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.
15 pages, 4 figures, LaTeX; corrected one bibliography entry

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Differential Geometry, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/223222

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.3000
 http://arxiv.org/abs/0802.3000

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arXiv