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On the 2-head of the colored Jones polynomial for pretzel knots

Published 19 Feb 2019 in math.GT, math.NT, and math.QA | (1902.07061v2)

Abstract: In this paper, we prove a formula for the 2-head of the colored Jones polynomial for an infinite family of pretzel knots. Following Hall, the proof utilizes skein-theoretic techniques and a careful examination of higher order stability properties for coefficients of the colored Jones polynomial.

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