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arXiv · 2007.13277

Knot Complement, ADO-Invariants and their Deformations for Torus Knots

John Chae
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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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BibTeXRIS

John Chae. 2020-07-27. Knot Complement, ADO-Invariants and their Deformations for Torus Knots. https://doi.org/10.3842/sigma.2020.134

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