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Combinatorial and Geometric Group Theory
May 5-10, 2006
Vanderbilt University
Nashville, TN, USA

Organizers
Goulnara Arzhantseva, Mike Mihalik, Denis Osin, Mark Sapir, Efim Zelmanov

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The asymptotic dimension of a curve graph is finite
by
Koji Fujiwara
Tohoku University
Coauthors: Greg Bell

The asymptotic dimension, asdim, of a metric space was defined by Gromov as a quasi-isometric invariant. It was known that a delta-hyperbolic space with bounded geometry has finite asdim. An example is a word-hyperbolic group. We show that the curve graph of a compact surface has finite asdim. A curve graph is delta-hyperbolic but does not have bounded geometry.

Date received: March 4, 2006

Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqu-73.