Injections of mapping class groups
Geometric Topology
2014-11-11 v1 Group Theory
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.
Cite
@article{arxiv.0811.0841,
title = {Injections of mapping class groups},
author = {Javier Aramayona and Christopher J. Leininger and Juan Souto},
journal= {arXiv preprint arXiv:0811.0841},
year = {2014}
}