ON THE VOLUME CONJECTURE FOR CABLES OF KNOTS

DOI10.1142/S0218216510008534zbMath1229.57019arXiv0907.0172OpenAlexW2964018275WikidataQ122924841 ScholiaQ122924841MaRDI QIDQ3074566

Anh T. Tran, Le Ty Kuok Tkhang

Publication date: 9 February 2011

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

Full work available at URL: https://arxiv.org/abs/0907.0172

zbMATH Keywords

Kashaev invariantHyperbolic volume conjectureJones polynominal

Mathematics Subject Classification ID

Related Items (4)

Quantum invariants of 3-manifolds via link surgery presentations and non-semi-simple categories ⋮ On the limit of the colored Jones polynomial of a non-simple link ⋮ Quantum invariants of three-manifolds obtained by surgeries along torus knots ⋮ On the AJ conjecture for cables of twist knots

Cites Work

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• The hyperbolic volume of knots from the quantum dilogarithm
• Hecke algebra representations of braid groups and link polynomials
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Ribbon graphs and their invariants derived from quantum groups
• Integrality and symmetry of quantum link invariants
• Proof of the volume conjecture for Whitehead doubles of a family of torus knots
• A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres
• Strong integrality of quantum invariants of 3-manifolds
• Integrality of quantum 3-manifold invariants and a rational surgery formula
• The colored Jones polynomials and the simplicial volume of a knot

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