Publication

Injections of mapping class groups

Aramayona, Javier
; 
Leininger, Christopher J
; 
Souto, Juan
Repository DOI
Publication Date
2009-07-02
Keywords
superinjective simplicial maps, teichmuller-spaces, measured foliations, riemann surfaces, curve complexes, braid-groups, subgroups, homomorphisms, automorphisms
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.
Funder
Publisher
Mathematical Sciences Publishers
Publisher DOI
10.2140/gt.2009.13.2523
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)
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