Knot Complement, ADO Invariants and their Deformations for Torus Knots

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.