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Stability properties of the colored Jones polynomial

2014/09/15 by Lee, Christine Ruey Shan · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1409.4457

Abstract

It is known that the colored Jones polynomial of a +-adequate link has a well-defined tail consisting of stable coefficients, and that the coefficients of the tail carry geometric and topological information on the +-adequate link complement. We show that a power series similar to the tail of the colored Jones polynomial for +-adequate links can be defined for all links, and that it is trivial if and only if the link is non +-adequate.

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