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http://dx.doi.org/10.4134/JKMS.2013.50.3.641

OPTIMISTIC LIMITS OF THE COLORED JONES POLYNOMIALS  

Cho, Jinseok (School of Mathematics Korea Institute for Advanced Study)
Murakami, Jun (Department of Mathematics Waseda University)
Publication Information
Journal of the Korean Mathematical Society / v.50, no.3, 2013 , pp. 641-693 More about this Journal
Abstract
We show that the optimistic limits of the colored Jones polynomials of the hyperbolic knots coincide with the optimistic limits of the Kashaev invariants modulo $4{\pi}^2$.
Keywords
volume conjecture; colored Jones polynomial; optimistic limit; Kashaev invariant;
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