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A second time around the Volume Conjecture
May 30 - June 3, 2007
Louisiana State University
Baton Rouge, LA, USA

Organizers
Abhijit Champanerkar, Oliver Dasbach, Effie Kalfagianni, Ilya Kofman, Walter Neumann, Neal Stoltzfus

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The Asymptotics of the Quantum Hyperbolic invariants of Baseilhac and Benedetti
by
Charles Frohman
The University of Iowa
Coauthors: Matt Stoeckel, Stephane Baseilhac

Baseilhac and Benedetti have defined a family of invariants indexed by odd counting numbers of a cusped three-manifold with a PSL_2(C) representation of its fundamental group, and an appropriately branched, charged and flattned triangulation with a specified Hamiltonian link.

In this lecture I will walk through the derivation of the invariant for the figure eight knot complement at the complete hyperbolic structure and then present the results of numerical experiments which explore the growth rate of the invariant for different choices of the weight of the flattening.

Date received: May 2, 2007

Copyright © 2007 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 # caus-04.