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Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory
June 3-19, 2009
Columbia University
New York, USA

Organizers
Abhijit Champanerkar (CSI, CUNY), Oliver Dasbach (LSU), Effie Kalfagianni (MSU), Ilya Kofman (CSI, CUNY), Walter Neumann (Barnard College, Columbia U.), Neal Stoltzfus (LSU)

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Quantum hyperbolic field theories
by
Stéphane Baseilhac
Institut Fourier, Université de Grenoble

The Reshetikhin-Turaev topological quantum field theory is based on the representation theory of the restricted, finite dimensional, quantum group of sl(2,C) at roots of unity. The full quantum sl(2,C) has a tremendously rich geometry refining that of the Lie group SL(2,C). We will discuss the corresponding quantum field theory, which provides invariants of 3-manifolds with flat SL(2,C)-bundles that are closely related to the classical Chern-Simons action.

Date received: May 23, 2009

Copyright © 2009 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 # cayy-13.