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 the co...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211085 |
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| 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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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 complement of a knot. Furthermore, one parameter deformation of the ADO₃ polynomial of torus knots is provided.
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| ISSN: | 1815-0659 |