Geodesic
Knot Complement, ADO Invariants and their Deformations for Torus Knots
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{SIGMA_2020_16_a133,
     author = {John Chae},
     title = {Knot {Complement,} {ADO} {Invariants} and their {Deformations} for {Torus} {Knots}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a133/}
}
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John Chae. Knot Complement, ADO Invariants and their Deformations for Torus Knots. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a133/

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