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Spherical Tetrahedra and a Semiclassical Invariant of Three-Manifolds
by
Yuka Taylor
The George Washington University
Coauthors: Chris Woodward, Rutgers University
As an application of the asymptotic formula of 6j symbols for the quantum enveloping algebra of sl(2), we construct a formal topological invariant of closed, oriented three-manifolds using spherical tetrahedra. We then explain how our spherical invariant predicts the semiclassical behavior of the Turaev-Viro invariant of three-manifolds. This is joint work with C. Woodward.
Date received: November 18, 2003
Copyright © 2003 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # camw-07.