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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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On quantum Teichmuller space of surfaces with boundary I, II
by
R. Kashaev
Geneva University

It will be described how the quantum theory of the decorated Teichmuller space of punctured surfaces can be extended to the Teichmuller space of surfaces with totally geodesic boundary. The essential feature of the construction is that one quantizes not the Teichmuller space itself or the one with fixed lengths of the boundary components, but a product space given by the Teichmuller space with fixed total length of the boundary and the first cohomology group of the surface.

Date received: March 9, 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-10.