Original Article
Kyungpook Mathematical Journal 2004; 44(3): 369-383
Published online September 23, 2004
Copyright © Kyungpook Mathematical Journal.
Some Limits of the Colored Jones Polynomials of the Figureeight Knot
Hitoshi Murakami
Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro, Tokyo 152-8551, Japan
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.
Keywords: colored Jones polynomial, knot, figure-eight knot, volume conjecture, Lobachevski function, cone-manifold