Injections of mapping class groups

Javier Aramayona, Christopher J. Leininger, Juan Souto

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)2523-2541
Number of pages19
JournalGeometry and Topology
Volume13
Issue number5
DOIs
StatePublished - 2009

Keywords

  • Homomorphism
  • Mapping class group
  • Monomorphism
  • Surface

ASJC Scopus subject areas

  • Geometry and Topology

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