Asymptotics of the colored Jones function of a knot

DOI10.2140/gt.2011.15.2135zbMath1239.57029arXivmath/0508100OpenAlexW2172097653MaRDI QIDQ658413

Stavros Garoufalidis, Le Ty Kuok Tkhang

Publication date: 12 January 2012

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

Full work available at URL: https://arxiv.org/abs/math/0508100

zbMATH Keywords

asymptotic expansionloop expansioncolored Jones polynomialvolume conjectureBorromean ringscyclotomic expansion

Mathematics Subject Classification ID

Related Items

Cyclotomic expansion of generalized Jones polynomials ⋮ Growth of quantum \(6j\)-symbols and applications to the volume conjecture ⋮ Turaev-Viro invariants, colored Jones polynomials, and volume ⋮ A version of the volume conjecture ⋮ Relative Reshetikhin-Turaev invariants, hyperbolic cone metrics and discrete Fourier transforms. I ⋮ A relative version of the Turaev–Viro invariants and the volume of hyperbolic polyhedral 3‐manifolds ⋮ A quantum invariant of links in \(T^2\times I\) with volume conjecture behavior ⋮ Geometrically and diagrammatically maximal knots ⋮ The quantum content of the gluing equations ⋮ Recurrence relations and asymptotics of colored Jones polynomials ⋮ The \(C\)-polynomial of a knot ⋮ Bipyramids and bounds on volumes of hyperbolic links ⋮ Recent progresses on the volume conjectures for Reshetikhin-Turaev and Turaev-Viro invariants ⋮ Double affine Hecke algebras and generalized Jones polynomials ⋮ Universal knot diagrams ⋮ Quantum knot invariants ⋮ Invariants of long knots ⋮ Nahm sums, stability and the colored Jones polynomial ⋮ Volume conjecture and WKB asymptotics ⋮ Knot state asymptotics. I: AJ conjecture and abelian representations

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