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Knot Complement, ADO-Invariants and their Deformations for Torus Knots
Published 27 Jul 2020 in math.GT, hep-th, math-ph, math.MP, and math.QA | (2007.13277v3)
Abstract: A relation between the two-variable series knot invariant and the Akutus-Deguchi-Ohtsuki(ADO)-invariant was conjectured recently. We reinforce the conjecture by presenting explicit formulas and/or an algorithm for certain ADO-invariants of torus knots obtained from the series invariant of complement of a knot. Furthermore, one parameter deformation of ADO_3-polynomial of torus knots is provided.
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