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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2013; 50(3): 641-693

Printed May 1, 2013

https://doi.org/10.4134/JKMS.2013.50.3.641

Copyright © The Korean Mathematical Society.

Optimistic limits of the colored Jones polynomials

Jinseok Cho and Jun Murakami

Korea Institute for Advanced Study, Waseda University

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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

MSC numbers: Primary 57M27; Secondly 51M25, 58J28

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