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Knots in Washington XVII, Conference on Knot Theory and its Ramifications
December 19-21, 2003
GWU
Washington, DC, USA

Organizers
Marta M.Asaeda (U.Iowa), Mietek K.Dabkowski (UTD), Jozef H.Przytycki(GWU), Yongwu Rong (GWU)

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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.