An introduction to the volume conjecture and its generalizations
Geometric Topology
2008-02-04 v1
Abstract
In this paper we give an introduction to the volume conjecture and its generalizations. Especially we discuss relations of the asymptotic behaviors of the colored Jones polynomials of a knot with different parameters to representations of the fundamental group of the knot complement at the special linear group over complex numbers by taking the figure-eight knot and torus knots as examples.
Cite
@article{arxiv.0802.0039,
title = {An introduction to the volume conjecture and its generalizations},
author = {Hitoshi Murakami},
journal= {arXiv preprint arXiv:0802.0039},
year = {2008}
}
Comments
27 pages, 12 figures, submitted to the Proceedings of the International Conference on Quantum Topology, Hanoi, August, 2007