Skip Navigation

Bulletin of the London Mathematical Society 2005 37(2):275-284; doi:10.1112/S0024609304003911
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Harvey, W. J.
Right arrow Articles by Korkmaz, M.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© London Mathematical Society

Homomorphisms From Mapping Class Groups

William J. Harvey and Mustafa Korkmaz

Department of Mathematics, King's College London WC2R 2LS, United Kingdom bill.harvey{at}kcl.ac.uk
Department of Mathematics, Middle East Technical University 06531 Ankara, Turkey korkmaz{at}arf.math.metu.edu.tr

Received 2 June 2003. Revision received 16 February 2004.

This paper concerns rigidity of the mapping class groups. It is shown that any homomorphism {phi} : Modg -> Modh between mapping class groups of closed orientable surfaces with distinct genera g > h is trivial if g ≥ 3, and has finite cyclic image for all g ≥ 1.

Some implications are drawn for more general homomorphs of these groups. 2000 Mathematics Subject Classification 57N05 (primary), 20E25, 30F10 (secondary).

The second author was supported in part by the Turkish Academy of Sciences, under the Young Scientists Award Programme (MK/TÜBA-GEBIP 2003–10).


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.