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ON THE GENERALIZED VOLUME CONJECTURE AND REGULATOR

ON THE GENERALIZED VOLUME CONJECTURE AND REGULATOR

In this paper, by using the regulator map of Beilinson-Deligne on a curve, we show that the quantization condition posed by Gukov is true for the SL 2 (ℂ) character variety of the hyperbolic knot in S 3 . Furthermore, we prove that the corresponding ℂ*-valued closed 1-form is a …