From the Jones function to the A-polynomial of hyperbolic knots
by
Yoshiyuki Yokota
Tokyo Metropolitan University

The purpose of this talk is to observe that the complex functions obtained form the "optimistic" limit of the Kashaev's invarinat, and so the colored Jones function, of a hyperbolic knot K are closely related to the geometry of the complement M of K. In fact, such functions can be computed from a diagram of K, and are closely related to the analytic functions on the deformation space of the hyperbolic structures of M. We also give a method to compute the A-polynomial of K which does not require any representaion of the fundamental group of M.

Date received: March 22, 2002

Copyright © 2002 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 # caiy-05.