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    Injections of mapping class groups

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    Date
    2009-07-02
    Author
    Aramayona, Javier
    Leininger, Christopher J
    Souto, Juan
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    Cited 12 times in Scopus (view citations)
    
    Recommended Citation
    Aramayona, Javier; Leininger, Christopher J; Souto, Juan (2009). Injections of mapping class groups. Geometry & Topology 13 , 2523-2541
    Published Version
    http://msp.org/gt/2009/13-5/gt-v13-n5-p02-s.pdf
    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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    http://hdl.handle.net/10379/10272
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