Optimistic limits of the colored Jones polynomials

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 $4{\pi }^2$.

49 pages, 24 Figures. English-corrected final version. To appear in Journal of KMS

References in corpus (3)

• On the volume conjecture for hyperbolic knots
• The asymptotic behavior of the colored Jones function of a knot and its volume
• Kashaev's invariant and the volume of a hyperbolic knot after Y. Yokota

Cited by in corpus (1)

• Optimistic limits of Kashaev invariants and complex volumes of hyperbolic links