Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Isoperimetric inequalities for the handlebody groups


Authors: Ursula Hamenstädt and Sebastian Hensel
Journal: Trans. Amer. Math. Soc. 365 (2013), 5313-5327
MSC (2010): Primary 20F65, 57M07
Published electronically: December 27, 2012
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We show that the mapping class group of a handlebody $ V$ of genus at least $ 2$ has a Dehn function of at most exponential growth type.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 20F65, 57M07

Retrieve articles in all journals with MSC (2010): 20F65, 57M07


Additional Information

Ursula Hamenstädt
Affiliation: Mathematisches Institut der Universität Bonn, Endenicher Allee 60, D-53115 Bonn, Germany
Email: ursula@math.uni-bonn.de

Sebastian Hensel
Affiliation: Mathematisches Institut der Universität Bonn, Endenicher Allee 60, D-53115 Bonn, Germany
Address at time of publication: Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637
Email: loplop@math.uni-bonn.de, hensel@math.uchicago.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-2012-05808-9
PII: S 0002-9947(2012)05808-9
Received by editor(s): November 4, 2011
Received by editor(s) in revised form: February 7, 2012
Published electronically: December 27, 2012
Additional Notes: Both authors were partially supported by the Hausdorff Center, Bonn and the Hausdorff Institut, Bonn. The second author was supported by the Max-Planck Institut für Mathematik, Bonn
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.