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Acta Mathematica Vietnamica

Cancellations in the Degree of the Colored Jones Polynomial

icon-email Christine Ruey Shan Lee , Roland van der Veen

Abstract

We give an alternate expansion of the colored Jones polynomial of a pretzel link which recovers the degree formula in Garoufalidis et al. (Internat. J. Math.31(7):66, 2020). As an application, we determine the degrees of the colored Jones polynomials of a new family of 3-tangle pretzel knots.