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Spring Topology and Dynamics Conference
March 21-23, 2002
University of Texas
Austin, TX, USA

Organizers
Cameron Gordon, John Luecke, Alan Reid

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Universal bounds for hyperbolic Dehn surgery
by
Craig Hodgson
University of Melbourne
Coauthors: Steve Kerckhoff (Stanford)

We describe joint work with Steve Kerckhoff using harmonic deformations to estimate the changes in geometry during hyperbolic Dehn filling on cusped hyperbolic 3-manifolds. Applications include a hyperbolic version of the Gromov-Thurston 2\pi theorem, universal bounds on the number of non-hyperbolic Dehn fillings, and new bounds on the volume of closed hyperbolic 3-manifolds containing a short closed geodesic.

Date received: February 21, 2002

Copyright © 2002 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 # caik-49.