Geometry, Topology and Dynamics Seminar
Koji Fujiwara
The asymptotic dimension of a curve graph is finite
Abstract: 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. This is a joint work with Greg Bell.
Monday May 15, 2006 at 3:00 PM in SEO 512