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G^3 = Geometric Group Theory on the Gulf Coast Conference
March 20-23, 2008

Pensacola Beach, Florida, USA

Organizers
Josh Barnard, Igor Belegradek, Igor Mineyev.

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Geometric Dehn filling of high-dimensional hyperbolic manifolds
by
Jason Manning
University at Buffalo
Coauthors: Koji Fujiwara (Tohoku University)

We describe geometric methods for understanding the collection of group theoretic Dehn fillings of a high dimensional cusped hyperbolic manifold. Such fillings are shown to act geometrically on either CAT(-1) spaces or CAT(0) spaces with isolated flats depending on the type of filling performed. The shape of the boundary is described and group theoretic information is inferred.

Date received: January 24, 2008

Copyright © 2008 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 # cawj-09.