Publication

Injections of mapping class groups

Aramayona, Javier
; 
Leininger, Christopher J
; 
Souto, Juan
Identifiers
http://hdl.handle.net/10379/10272
 https://doi.org/10.13025/26125
Publication Date
2009-07-02
Keywords
superinjective simplicial maps, teichmuller-spaces, measured foliations, riemann surfaces, curve complexes, braid-groups, subgroups, homomorphisms, automorphisms
Type
journal 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
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Externally hosted open access publications with University of Galway authors (2)