A version of the volume conjecture
Geometric Topology
2011-11-09 v3
Abstract
We propose a version of the volume conjecture that would relate a certain limit of the colored Jones polynomials of a knot to the volume function defined by a representation of the fundamental group of the knot complement to the special linear group of degree two over complex numbers. We also confirm the conjecture for the figure-eight knot and torus knots. This version is different from S. Gukov's because of a choice of polarization.
Cite
@article{arxiv.math/0603217,
title = {A version of the volume conjecture},
author = {Hitoshi Murakami},
journal= {arXiv preprint arXiv:math/0603217},
year = {2011}
}
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