Proof of a stronger version of the AJ conjecture for torus knots

DOI10.2140/agt.2013.13.609zbMath1270.57051arXiv1111.5065OpenAlexW3102752083WikidataQ123300735 ScholiaQ123300735MaRDI QIDQ1945744

Anh T. Tran

Publication date: 9 April 2013

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.5065

zbMATH Keywords

torus knotcolored Jones polynomialA-polynomialAJ conjecture

Mathematics Subject Classification ID

Related Items (4)

The AJ-Conjecture and cabled knots over torus knots ⋮ Recurrence relations and asymptotics of colored Jones polynomials ⋮ The strong AJ conjecture for the figure 8 knot ⋮ The AJ-conjecture and cabled knots over the figure eight knot

Cites Work

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• The colored Jones polynomial and the \(A\)-polynomial of knots
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• Ribbon graphs and their invariants derived from quantum groups
• The colored Jones function is \(q\)-holonomic
• The A-polynomial from the noncommutative viewpoint
• On the relation between the A-polynomial and the Jones polynomial
• On the AJ conjecture for cable knots
• A polynomial invariant for knots via von Neumann algebras
• Varieties of representations of finitely generated groups
• DIFFERENCE EQUATION OF THE COLORED JONES POLYNOMIAL FOR TORUS KNOT
• The coloured Jones function and Alexander polynomial for torus knots

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