Volume 13, issue 5 (2009)
Download this article
For screen
For printing
Recent Issues

Volume 17 (2013)
Issue 1 1–620
Issue 2 621–

Volume 16 (2012) 1–4

Volume 15 (2011) 1–4

Volume 14 (2010) 1–5

Volume 13 (2009) 1–5

Volume 12 (2008) 1–5

Volume 11 (2007)

Volume 10 (2006)

Volume 9 (2005)

Volume 8 (2004)

Volume 7 (2003)

Volume 6 (2002)

Volume 5 (2001)

Volume 4 (2000)

Volume 3 (1999)

Volume 2 (1998)

Volume 1 (1997)

G&T Monographs
The Journal
About the Journal
Editorial Board
Editorial Interests
Author Index
Editorial procedure
Submission Guidelines
Submission Page
Author copyright form
Subscriptions
Contacts
G&T Publications
GTP Author Index

Injections of mapping class groups

Javier Aramayona, Christopher J Leininger and Juan Souto

Geometry & Topology 13 (2009) 2523–2541

DOI: 10.2140/gt.2009.13.2523
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.

Keywords

mapping class group, homomorphism, surface, monomorphism
Mathematical Subject Classification

Primary: 20F34, 57M07

Secondary: 30F60, 32G15, 57M60, 57R50
References
Publication

Received: 24 November 2008
Revised: 15 June 2009
Accepted: 28 May 2009
Published: 2 July 2009
Proposed: Benson Farb
Seconded: Jean-Pierre Otal, Shigeyuki Morita
Authors
Javier Aramayona
School of Mathematics, Statistics and Applied Mathematics
National University of Ireland
Galway
Ireland
Christopher J Leininger
Department of Mathematics
University of Illinois
Urbana–Champaign, IL 61801
USA
Juan Souto
Department of Mathematics
University of Michigan
Ann Arbor, MI 48109
USA