The AJ-Conjecture and cabled knots over torus knots

DOI10.1142/S0218216515500510zbMath1343.57008arXiv1403.1858WikidataQ122925582 ScholiaQ122925582MaRDI QIDQ3450785

Dennis Ruppe, Xingru Zhang

Publication date: 9 November 2015

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1858

zbMATH Keywords

colored Jones polynomialscabled knots\(A\)-polynomialsthe AJ-conjecture

Mathematics Subject Classification ID

Related Items (4)

The strong AJ conjecture for cables of torus knots ⋮ A cable knot and BPS-series ⋮ The strong AJ conjecture for the figure 8 knot ⋮ The AJ-conjecture and cabled knots over the figure eight knot

Cites Work

• Irreducibility of \(q\)-difference operators and the knot \(7_{4}\)
• The colored Jones polynomial and the \(A\)-polynomial of knots
• Plane curves associated to character varieties of 3-manifolds
• Proof of a stronger version of the AJ conjecture for torus knots
• The colored Jones function is \(q\)-holonomic
• DIFFERENCE EQUATION OF THE COLORED JONES POLYNOMIAL FOR TORUS KNOT
• The coloured Jones function and Alexander polynomial for torus knots

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