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Injections of mapping class groups

dc.contributor.authorAramayona, Javier
dc.contributor.authorLeininger, Christopher J
dc.contributor.authorSouto, Juan
dc.date.accessioned2018-09-20T15:59:58Z
dc.date.available2018-09-20T15:59:58Z
dc.date.issued2009-07-02
dc.identifier.citationAramayona, Javier; Leininger, Christopher J; Souto, Juan (2009). Injections of mapping class groups. Geometry & Topology 13 , 2523-2541
dc.identifier.issn1364-0380,1465-3060
dc.identifier.urihttp://hdl.handle.net/10379/10272
dc.description.abstractWe construct new monomorphisms between mapping class groups of surfaces. The first family of examples injects the mapping class group of a closed surface into that of a different closed surface. The second family of examples are defined on mapping class groups of once-punctured surfaces and have quite curious behaviour. For instance, some pseudo-Anosov elements are mapped to multitwists. Neither of these two types of phenomena were previously known to be possible although the constructions are elementary.
dc.publisherMathematical Sciences Publishers
dc.relation.ispartofGeometry & Topology
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectsuperinjective simplicial maps
dc.subjectteichmuller-spaces
dc.subjectmeasured foliations
dc.subjectriemann surfaces
dc.subjectcurve complexes
dc.subjectbraid-groups
dc.subjectsubgroups
dc.subjecthomomorphisms
dc.subjectautomorphisms
dc.titleInjections of mapping class groups
dc.typeArticle
dc.identifier.doi10.2140/gt.2009.13.2523
dc.local.publishedsourcehttp://msp.org/gt/2009/13-5/gt-v13-n5-p02-s.pdf
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