Some limits of the colored Jones polynomials of the figure-eight knot

Abstract

We will study the asymptotic behaviors of the colored Jones polynomials of the figure-eight knot. In particular we will show that for certain limits we obtain the volumes of the cone manifolds with singularities along the knot.

11 pages

Cited by in corpus (2)

• Generalized Volume Conjecture and the A-Polynomials -- the Neumann-Zagier Potential Function as a Classical Limit of Quantum Invariant
• On the asymptotic behavior of the colored Jones polynomial of the figure-eight knot associated with a real number