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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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On a volume conjecture for planar graphs
by
Francesco Costantino
IRMA, Strasbourg
Coauthors: François Gueritaud, Roland Van der Veen

After recalling how to compute Kauffman brackets of graphs and discussing their integrality properties, I will formulate a version of the volume conjecture for planar graphs and relate it to the volume of hyperbolic polyhedra. Then, I will discuss the evidences supporting it and some of the main issues to be solved to prove it.

Date received: May 14, 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-04.