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Turaev-Viro invariants of 3-manifolds and normal surfaces
by
Joanna Kania-Bartoszynska
National Science Foundation and Boise State University
Coauthors: Charles Frohman
The formula for the Turaev-Viro invariant of a 3-manifold depends on a complex parameter t. When t is not a root of unity, the formula becomes an infinite sum. We analyze convergence of this sum when t does not lie on the unit circle, in the presence of an efficient triangulation of the three-manifold. The terms of the sum can be indexed by surfaces lying in the three-manifold. The contribution of a surface is largest when the surface is normal and when its genus is the lowest. This is joint work with Charles Frohman, University of Iowa.
Date received: December 13, 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-19.