The NoncommutativeA-Polynomial of (−2, 3,n) Pretzel Knots

DOI10.1080/10586458.2012.651409zbMath1255.57012arXiv1101.2844OpenAlexW3100316786MaRDI QIDQ5200344

Stavros Garoufalidis, Christoph Koutschan

Publication date: 5 November 2012

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2844

zbMATH Keywords

knotscolored Jones polynomialvolume conjecturequantum topologyKashaev invariantpretzel knots\(q\)-holonomic sequencesrecurrence idealnoncommutative \(A\)-polynomial

Mathematics Subject Classification ID

Related Items (5)

A generalisation of the deformation variety ⋮ A cable knot and BPS-series ⋮ A diagrammatic approach to the AJ conjecture ⋮ Desingularization in the \(q\)-Weyl algebra ⋮ Quantum knot invariants

Cites Work

• The Jones slopes of a knot
• The hyperbolic volume of knots from the quantum dilogarithm
• The \(\mathfrak {sl}_{3}\) Jones polynomial of the trefoil: a case study of \(q\)-holonomic sequences
• Hecke algebra representations of braid groups and link polynomials
• The Yang-Baxter equation and invariants of links
• A holonomic systems approach to special functions identities
• The universal \(R\)-matrix, Burau representation, and the Melvin-Morton expansion of the colored Jones polynomial
• The colored Jones function is \(q\)-holonomic
• On the relation between the A-polynomial and the Jones polynomial
• THE NON-COMMUTATIVE A-POLYNOMIAL OF TWIST KNOTS
• DIFFERENCE AND DIFFERENTIAL EQUATIONS FOR THE COLORED JONES FUNCTION
• THE CULLER-SHALEN SEMINORMS OF THE (-2, 3, n) PRETZEL KNOT
• The \(C\)-polynomial of a knot
• Dehn surgery on knots
• The colored Jones polynomials and the simplicial volume of a knot

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