|
Organizers |
Exact volume of hyperbolic 2-bridge links
by
Anastasiia Tsvietkova
Louisiana State University
We will discuss the question of relating a diagram of a link to the geometry of its complement, and, in particular, to its exact hyperbolic volume. W. Thurston suggested a method for computing volume of hyperbolic 3-manifolds, based on a triangulation of the manifold. It was implemented by J. Weeks in the program SnapPea, which produces a decimal approximation as a result. For hyperbolic 2-bridge links, we give formulae that allow one to find the exact volume, i.e. to construct a polynomial and to find volume as an analytic function of one of its roots. The computation is performed directly from a reduced, alternating link diagram.
Date received: November 28, 2012
Copyright © 2012 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbfw-41.