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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 dilogarithmic formula for the Cheeger-Chern-Simons class
by
Christian Zickert
Columbia University

We introduce a new formula for computing the Cheeger-Chern-Simons class of a complete hyperbolic 3-manifold. A formula by Dupont computes the universal class using Rogers' dilogarithm, but his formula is only correct modulo Q. In a recent paper Neumann extends the work by Dupont and obtains a formula without this indeterminacy. However, Neumann's formula is difficult to apply and very slow for concrete applications. The new formula can be applied directly to a homology class in the bar complex.

Date received: March 13, 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-14.