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Colored Jones polynomials without tails
Published 12 Jun 2018 in math.GT and math.QA | (1806.04565v2)
Abstract: We exhibit an infinite family of knots with the property that the first coefficient of the n-colored Jones polynomial grows linearly with n. This shows that the concept of stability and tail seen in the colored Jones polynomials of alternating knots does not generalize naively.
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