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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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Angled triangulations and volume estimates
by
David Futer
Michigan State University
Coauthors: François Guéritaud

I will describe a program for estimating the volume of a hyperbolic knot complement using angled ideal triangulations. These are triangulations where the vertices of the tetrahedra lie "at infinity," i.e. on the knot, and where the edges of the tetrahedra are assigned dihedral angles that fit together nicely in the gluing. Such a triangulation does not quite give us the hyperbolic structure on the knot complement, but it can yield upper and (hopefully) lower bounds on the volume. I will describe how to construct these triangulations for the family of arborescent knots.

Date received: March 8, 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-09.