Homomorphisms from mapping class groups

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This paper concerns rigidity of the mapping class groups. We show that any homomorphism $ϕ:{\rm Mod}_g\to {\rm Mod}_h$ between mapping class groups of closed orientable surfaces with distinct genera $g>h$ is trivial if $g\geq 3$ and has finite image for all $g\geq 1$. Some implications are drawn for more general homomorphs of these groups.
11 pages, 2 pictures

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Geometric Topology, Group Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/68012

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307107
 http://arxiv.org/abs/math/0307107

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arXiv