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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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A shadow approach to the Volume Conjecture
by
Francesco Costantino
IRMA, Strasbourg

We describe how the theory of Turaev's shadows can be applied to the study of the Volume Conjecture. In particular, after recalling some the main facts on shadows, we use these objects to extend the VC to the case of links contained in connected sums of S2 ×S1. Then, we show how to prove the conjecture for the infinite family of "Universal Hyperbolic Links".

Paper reference: arXiv:math.GT/0510048

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-04.