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G^3 = Geometric Groups on the Gulf coast
March 26-28, 1998
University of South Alabama
Mobile, AL, USA

Organizers
Stephen Brick, Jon Corson

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The twist construction
by
William Floyd
Virginia Tech
Coauthors: James Cannon, Walter Parry

The starting point for the construction is a polygonal decomposition of the boundary 2-sphere of a 3-ball (with each polygon having at least two edges) and a set of orientation-reversing face pairings of the polygons. As is well known, the quotient of the 3-ball under the face pairings is not generally a 3-manifold. However, if you subdivide each edge appropriately and then compose each face pairing with a twist, the quotient space is a closed 3-manifold. The talk will consist mainly of examples.

Date received: March 11, 1998

Copyright © 1998 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 # cabg-09.