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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 134, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.134 (Mi sigma1671) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Knot Complement, ADO Invariants and their Deformations for Torus Knots

John Chae

Univeristy of California Davis, Davis, USA
Full-text PDF (400 kB) Citations (2)
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DOI: https://doi.org/10.3842/SIGMA.2020.134
Abstract: 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 complement of a knot. Furthermore, one parameter deformation of ADO$_3$ polynomial of torus knots is provided.
Keywords: torus knots, knot complement, quantum invariant, $q$-series, ADO Polynomials, Chern–Simons theory, categorification.
Received: August 20, 2020; in final form December 9, 2020; Published online December 15, 2020
Bibliographic databases:
Document Type: Article
MSC: 57K14, 57K16, 81R50
Language: English
Citation: John Chae, “Knot Complement, ADO Invariants and their Deformations for Torus Knots”, SIGMA, 16 (2020), 134, 16 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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