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Knot Complement, ADO-Invariants and their Deformations for Torus Knots
- Publication Year :
- 2020
-
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.<br />The published version of the paper
- Subjects :
- High Energy Physics - Theory
Pure mathematics
Quantum invariant
Categorification
Chern–Simons theory
FOS: Physical sciences
01 natural sciences
Mathematics - Geometric Topology
Knot (unit)
0103 physical sciences
Mathematics - Quantum Algebra
FOS: Mathematics
Quantum Algebra (math.QA)
0101 mathematics
Invariant (mathematics)
Mathematical Physics
Mathematics
Knot complement
010308 nuclear & particles physics
010102 general mathematics
Geometric Topology (math.GT)
Torus
Mathematical Physics (math-ph)
Mathematics::Geometric Topology
High Energy Physics - Theory (hep-th)
Knot invariant
Geometry and Topology
Analysis
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....d6a031ae60352122f53b9aea47e35a92