Injections of mapping class groups
Leininger, Christopher J
MetadataShow full item record
This item's downloads: 0 (view details)
Cited 12 times in Scopus (view citations)
Aramayona, Javier; Leininger, Christopher J; Souto, Juan (2009). Injections of mapping class groups. Geometry & Topology 13 , 2523-2541
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.