A version of the volume conjecture

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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. © 2006 Elsevier Inc. All rights reserved.




Murakami, H. (2007). A version of the volume conjecture. Advances in Mathematics, 211(2), 678–683. https://doi.org/10.1016/j.aim.2006.09.005

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