COLORED JONES INVARIANTS OF LINKS IN S 3 #kS 2 × S 1 AND THE VOLUME CONJECTURE
نویسنده
چکیده
We extend the definition of the colored Jones polynomials to framed links and trivalent graphs in S3#kS 2 × S using a state-sum formulation based on Turaev’s shadows. Then, we prove that the natural extension of the Volume Conjecture is true for an infinite family of hyperbolic links.
منابع مشابه
The Colored Jones Polynomials and the Simplicial Volume of a Knot
We show that the set of colored Jones polynomials and the set of generalized Alexander polynomials defined by Akutsu, Deguchi and Ohtsuki intersect non-trivially. Moreover it is shown that the intersection is (at least includes) the set of Kashaev’s quantum dilogarithm invariants for links. Therefore Kashaev’s conjecture can be restated as follows: The colored Jones polynomials determine the hy...
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