Knot Complement, ADO Invariants and their Deformations for Torus Knots

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• ISSN: 1815-0659
• Main Author: Chae, John
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211085
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Knot Complement, ADO Invariants and their Deformations for Torus Knots. John Chae. SIGMA 16 (2020), 134, 16 pages

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 the co...