OPTIMISTIC LIMITS OF THE COLORED JONES POLYNOMIALS

Title & Authors
OPTIMISTIC LIMITS OF THE COLORED JONES POLYNOMIALS
Cho, Jinseok; Murakami, Jun;

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 $\small{4{\pi}^2}$.
Keywords
volume conjecture;colored Jones polynomial;optimistic limit;Kashaev invariant;
Language
English
Cited by
1.
OPTIMISTIC LIMITS OF THE COLORED JONES POLYNOMIALS AND THE COMPLEX VOLUMES OF HYPERBOLIC LINKS, Journal of the Australian Mathematical Society, 2016, 100, 03, 303
2.
Reidemeister transformations of the potential function and the solution, Journal of Knot Theory and Its Ramifications, 2017, 1750079
3.
Optimistic limits of Kashaev invariants and complex volumes of hyperbolic links, Journal of Knot Theory and Its Ramifications, 2014, 23, 09, 1450049
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