Colored knot polynomials for Pretzel knots and links of arbitrary genus

preprint2014arXivOpen access

Abstract

A very simple expression is conjectured for arbitrary colored Jones and HOMFLY polynomials of a rich (g+1)(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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