Abstract
In this paper, we discuss the relation between the colored Jones polynomial of a 2-bridge link and the ideal triangulation of it's complement in S3. The aim of this paper is to describe the ideal triangulation of a 2-bridge link complement and to show that the hyperbolicity equations coincide with the equations obtained from the colored Jones polynomial of a 2-bridge link, and to compare this triangulation with the canonical decomposition of the 2-bridge link complement introduced by Sakuma and Weeks in [10].
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