ASYMPTOTIC BEHAVIORS OF THE COLORED JONES POLYNOMIALS OF A TORUS KNOT

DOI10.1142/S0129167X04002454zbMath1055.57015arXivmath/0405126OpenAlexW2964107411MaRDI QIDQ4820975

Hitoshi Murakami

Publication date: 1 October 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405126

zbMATH Keywords

torus knotcolored Jones polynomialvolume conjecture

Mathematics Subject Classification ID

Related Items

Holomorphic blocks in three dimensions ⋮ Asymptotics of the colored Jones polynomial and the A-polynomial ⋮ A version of the volume conjecture ⋮ Three-dimensional extensions of the Alday-Gaiotto-Tachikawa relation ⋮ On the volume conjecture for polyhedra ⋮ On the asymptotic expansion of the colored Jones polynomial for torus knots ⋮ \(6j\)-symbols, hyperbolic structures and the volume conjecture ⋮ Jones-Wenzl idempotents for rank 2 simple Lie algebras ⋮ COLORED JONES POLYNOMIALS WITH POLYNOMIAL GROWTH ⋮ Witten-Reshetikhin-Turaev function for a knot in Seifert manifolds

Cites Work

• Unnamed Item
• The hyperbolic volume of knots from the quantum dilogarithm
• Volumes of hyperbolic three-manifolds
• The \(\eta\)-invariant of hyperbolic 3-manifolds
• Torus knot and minimal model
• The coloured Jones function
• A contribution of the trivial connection to the Jones polynomial and Witten's invariant of 3d manifolds. I
• On the Melvin-Morton-Rozansky conjecture
• Elementary surgery along a torus knot
• A LINK INVARIANT FROM QUANTUM DILOGARITHM
• On the relation between the A-polynomial and the Jones polynomial
• A polynomial invariant for knots via von Neumann algebras
• THE NONCOMMUTATIVE A-IDEAL OF A (2, 2p + 1)-TORUS KNOT DETERMINES ITS JONES POLYNOMIAL
• The coloured Jones function and Alexander polynomial for torus knots
• The colored Jones polynomials and the simplicial volume of a knot