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This article is cited in 2 scientific papers (total in 2 papers)
Knot Complement, ADO Invariants and their Deformations for Torus Knots
John Chae Univeristy of California Davis, Davis, USA
Abstract:
A relation between the two-variable series knot invariant and the Akutsu–Deguchi–Ohtsuki (ADO) invariant was conjectured recently. We reinforce the conjecture by presenting explicit formulas and/or an algorithm for particular 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.
Keywords:
torus knots, knot complement, quantum invariant, $q$-series, ADO Polynomials, Chern–Simons theory, categorification.
Received: August 20, 2020; in final form December 9, 2020; Published online December 15, 2020
Citation:
John Chae, “Knot Complement, ADO Invariants and their Deformations for Torus Knots”, SIGMA, 16 (2020), 134, 16 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1671 https://www.mathnet.ru/eng/sigma/v16/p134
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Abstract page: | 48 | Full-text PDF : | 11 | References: | 10 |
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