The strong AJ conjecture for the figure 8 knot

DOI10.1007/s40306-020-00401-2zbMath1470.57024OpenAlexW3118587622WikidataQ123230886 ScholiaQ123230886MaRDI QIDQ2043343

Hoang-An Nguyen, Anh T. Tran

Publication date: 30 July 2021

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-020-00401-2

zbMATH Keywords

colored Jones polynomialA-polynomialAJ conjecturefigure 8 knot

Mathematics Subject Classification ID

Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16)

Cites Work

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• Irreducibility of \(q\)-difference operators and the knot \(7_{4}\)
• On the AJ conjecture for cables of the figure eight knot
• Character varieties, \(A\)-polynomials and the AJ conjecture
• Varieties of group representations and splittings of 3-manifolds
• The colored Jones polynomial and the \(A\)-polynomial of knots
• Hecke algebra representations of braid groups and link polynomials
• Plane curves associated to character varieties of 3-manifolds
• Ribbon graphs and their invariants derived from quantum groups
• Proof of a stronger version of the AJ conjecture for torus knots
• The AJ-conjecture and cabled knots over the figure eight knot
• Knot state asymptotics. I: AJ conjecture and abelian representations
• The colored Jones function is \(q\)-holonomic
• The A-polynomial from the noncommutative viewpoint
• On the AJ conjecture for cable knots
• On the AJ conjecture for knots
• The AJ-Conjecture and cabled knots over torus knots
• The strong AJ conjecture for cables of torus knots
• DIFFERENCE EQUATION OF THE COLORED JONES POLYNOMIAL FOR TORUS KNOT
• On the AJ conjecture for cables of twist knots

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