Homomorphisms from mapping class groups

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dc.creatorHarvey, William
dc.creatorKorkmaz, Mustafa
dc.date2003-07-09
dc.date.accessioned2026-07-07T04:59:31Z
dc.date.available2026-07-07T04:59:31Z
dc.descriptionThis 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.
dc.description11 pages, 2 pictures
dc.identifierhttps://arxiv.org/abs/math/0307107
dc.identifierhttp://arxiv.org/abs/math/0307107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68012
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.titleHomomorphisms from mapping class groups
dc.typetext

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