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.
Citation
Javier Aramayona. Christopher J Leininger. Juan Souto. "Injections of mapping class groups." Geom. Topol. 13 (5) 2523 - 2541, 2009. https://doi.org/10.2140/gt.2009.13.2523
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