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THE COLORED JONES POLYNOMIALS OF 2-BRIDGE LINK AND HYPERBOLICITY EQUATIONS OF IT'S COMPLEMENTS

KOJI OHNUKI

Department of Mathematical Science, Graduate School of Science and Engineering Waseda University, 3-4-1 Okubo Shinjuku-ku Tokyo, 169-8555, Japan

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https://doi.org/10.1142/S021821650500407XCited by:5 (Source: Crossref)

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].

Keywords:

AMSC: Primary 57M27, Secondary 57M50

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