Mathematics – Geometric Topology
Scientific paper
2006-03-09
Advances in Mathematics, Volume 211, Issue 2, 1 June 2007, Pages 678-683
Mathematics
Geometric Topology
5 pages, added more comments
Scientific paper
10.1016/j.aim.2006.09.005
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.
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