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Around the Volume Conjecture
March 13-19, 2006
Columbia University
New York, USA

Organizers
Abhijit Champanerkar, Oliver Dasbach, Effie Kalfagianni, Ilya Kofman, Xiao-Song Lin, Walter Neumann, Neal Stoltzfus

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Quantum hyperbolization of fibered manifolds
by
Stéphane Baseilhac
Institut Fourier

The quantum hyperbolic representations of the modular groups of punctured surfaces can be derived from the geometric quantization of surface diffeomorphisms, following talk I. I will discuss properties of their spectrum, in view of the volume conjecture for manifolds which fiber over the circle.

Date received: March 4, 2006

Copyright © 2006 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 # cass-03.