Injections of mapping class groups

Javier Aramayona; Christopher J. Leininger; Juan Souto

doi:10.2140/gt.2009.13.2523

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arXiv · 0811.0841

Injections of mapping class groups

Javier Aramayona·Christopher J. Leininger·Juan Souto

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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 multi-twists. Neither of these two types of phenomena were previously known to be possible although the constructions are elementary.

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BibTeX RIS

Javier Aramayona, Christopher J. Leininger, Juan Souto. 2008-11-05. Injections of mapping class groups. https://doi.org/10.2140/gt.2009.13.2523

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