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arXiv:math/0603217 [math.GT]AbstractReferencesReviewsResources

A version of the volume conjecture

Hitoshi Murakami

Published 2006-03-09, updated 2006-04-15Version 3

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.

Comments: 5 pages, added more comments
Journal: Advances in Mathematics, Volume 211, Issue 2, 1 June 2007, Pages 678-683
Categories: math.GT
Subjects: 57M27, 57M25, 57M50
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