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Colored knot polynomials for Pretzel knots and links of arbitrary genus

Published 8 Dec 2014 in hep-th, math.GT, and math.QA | (1412.2616v1)

Abstract: A very simple expression is conjectured for arbitrary colored Jones and HOMFLY polynomials of a rich $(g+1)$-parametric family of Pretzel knots and links. The answer for the Jones and HOMFLY polynomials is fully and explicitly expressed through the Racah matrix of U_q(SU_N), and looks related to a modular transformation of toric conformal block.

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