IS THE JONES POLYNOMIAL OF A KNOT REALLY A POLYNOMIAL?

DOI10.1142/S0218216506004919zbMath1126.57007arXivmath/0601139OpenAlexW2117333079MaRDI QIDQ3421886

Stavros Garoufalidis, Le Ty Kuok Tkhang

Publication date: 8 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0601139

zbMATH Keywords

colored Jones polynomialHabiro ring\(q\)-holonomic

Mathematics Subject Classification ID

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Cites Work

• Unnamed Item
• Cyclotomic completions of polynomial rings
• State models and the Jones polynomial
• Hecke algebra representations of braid groups and link polynomials
• A holonomic systems approach to special functions identities
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Plane curves associated to character varieties of 3-manifolds
• On a universal perturbative invariant of 3-manifolds
• The Århus integral of rational homology 3-spheres III: Relation with the Le-Murakami-Ohtsuki invariant
• Ribbon graphs and their invariants derived from quantum groups
• The coloured Jones function
• Integrality and symmetry of quantum link invariants
• The colored Jones function is \(q\)-holonomic
• Structure of representations generated by vectors of highest weight
• DIFFERENCE EQUATION OF THE COLORED JONES POLYNOMIAL FOR TORUS KNOT
• Vassiliev invariants and a strange identity related to the Dedekind eta-function