Proof of the volume conjecture for torus knots
From MaRDI portal
Publication:1405632
DOI10.1023/A:1022608131142zbMath1030.57021arXivmath/9912210OpenAlexW1546191764MaRDI QIDQ1405632
Rinat M. Kashaev, Olav Tirkkonen
Publication date: 1 September 2003
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9912210
Jones polynomialquantum invariantsimplicial volumevolume conjecturehyperbolic volume of the complement of a knot
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Polylogarithms and relations with (K)-theory (11G55)
Related Items
Modularity and value distribution of quantum invariants of hyperbolic knots, ON THE ANALYTIC PROPERTIES OF THE z-COLOURED JONES POLYNOMIAL, A version of the volume conjecture, On the asymptotic expansions of the Kashaev invariant of the knots with 6 crossings, Three-dimensional extensions of the Alday-Gaiotto-Tachikawa relation, On the potential function of the colored Jones polynomial with arbitrary colors, On the volume conjecture for polyhedra, On the asymptotic expansions of the Kashaev invariant of hyperbolic knots with seven crossings, On the limit of the colored Jones polynomial of a non-simple link, Kashaev invariants of twice-iterated torus knots, On the asymptotic expansion of the colored Jones polynomial for torus knots, The colored Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of a twice-iterated torus knot, The twisted Reidemeister torsion of an iterated torus knot, Braids, complex volume and cluster algebras, \(6j\)-symbols, hyperbolic structures and the volume conjecture, Proof of the volume conjecture for Whitehead doubles of a family of torus knots, Recurrence relations and asymptotics of colored Jones polynomials, The volume conjecture, perturbative knot invariants, and recursion relations for topological strings, The colored Jones polynomials and the simplicial volume of a knot, Witten-Reshetikhin-Turaev function for a knot in Seifert manifolds, Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial
