Injections of mapping class groups
Aramayona, Javier ; Leininger, Christopher J ; Souto, Juan
Aramayona, Javier
Leininger, Christopher J
Souto, Juan
Repository DOI
Publication Date
2009-07-02
Type
Article
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Citation
Aramayona, Javier; Leininger, Christopher J; Souto, Juan (2009). Injections of mapping class groups. Geometry & Topology 13 , 2523-2541
Abstract
We 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.
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Publisher
Mathematical Sciences Publishers
Publisher DOI
10.2140/gt.2009.13.2523
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Attribution-NonCommercial-NoDerivs 3.0 Ireland