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The 1996 Joint Spring Topology Conference and Southeast Dynamical Systems Conference
March 7-9, 1996
Ball State University
Muncie, IN, USA

Organizers
John Emert, Kerry Jones, Roger Nelson

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Are Homotopy Hyperbolic 3-Manifolds Hyperbolic?
by
G. Robert Meyerhoff
Boston College

In recent work, Gabai has proved that if it can be shown that a rather large and well-situated (with respect to itself) solid tube (around some geodesic) exists in each and every hyperbolic 3-manifold, then homotopy hyperbolic 3-manifolds are actually hyperbolic.

In joint work, Gabai, N. Thurston, and I have developed a powerful approach to constructing such solid tubes. Our approach uses (rigorously) computers. Various aspects of our method will be discussed, and the present status of our project will be revealed.

Date received: February 1, 1996

Copyright © 1996 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 # caab-62.