Stability properties of the colored Jones polynomial
2019
It is known that the colored Jones polynomial of an A-adequate link has a well-defined tail consisting of stable coefficients, and that the coefficients of the tail carry geometric and topological information of an A-adequate link complement. We use the ribbon graph expansion of the Kauffman bracket to show that a tail of the colored Jones polynomial can be defined for all links, and that it is constant if and only if the link is non A-adequate.
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