{ "id": "2007.13277", "version": "v1", "published": "2020-07-27T02:17:00.000Z", "updated": "2020-07-27T02:17:00.000Z", "title": "Knot Complement, ADO-Invariants and their Deformations for Torus Knots", "authors": [ "John Chae" ], "categories": [ "math.GT", "hep-th", "math-ph", "math.MP", "math.QA" ], "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.", "revisions": [ { "version": "v1", "updated": "2020-07-27T02:17:00.000Z" } ], "analyses": { "keywords": [ "torus knots", "knot complement", "ado-invariants", "two-variable series knot invariant", "presenting explicit formulas" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }