Higher order terms in the Melvin-Morton expansion of the colored Jones polynomial

DOI10.1007/BF02506408zbMath0882.57004arXivq-alg/9601009MaRDI QIDQ1356105

Lev Rozansky

Publication date: 5 March 1998

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9601009

Mathematics Subject Classification ID

Related Items (16)

A rational noncommutative invariant of boundary links ⋮ Revisiting the Melvin-Morton-Rozansky expansion, or there and back again ⋮ The universal \(R\)-matrix, Burau representation, and the Melvin-Morton expansion of the colored Jones polynomial ⋮ A cable knot and BPS-series ⋮ The 3-loop polynomial of knots obtained by plumbing the doubles of two knots ⋮ BPS invariants for a knot in Seifert manifolds ⋮ Knot complement, ADO invariants and their deformations for torus knots ⋮ On \(p\)-adic convergence of perturbative invariants of some rational homology spheres ⋮ The volume conjecture, perturbative knot invariants, and recursion relations for topological strings ⋮ A computation of the Kontsevich integral of torus knots ⋮ A cabling formula for the 2-loop polynomial of knots ⋮ Perturbative invariants of 3-manifolds with the first Betti number 1 ⋮ A two-variable series for knot complements ⋮ Resurgent analysis for some 3-manifold invariants ⋮ ON HABIRO'S CYCLOTOMIC EXPANSIONS OF THE OHTSUKI INVARIANT ⋮ Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial

Cites Work

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• Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
• Witten's invariants of rational homology spheres at prime values of \(K\) and trivial connection contribution
• The universal \(R\)-matrix, Burau representation, and the Melvin-Morton expansion of the colored Jones polynomial
• On the Vassiliev knot invariants
• The coloured Jones function
• A polynomial invariant of rational homology \(3\)-spheres
• A contribution of the trivial connection to the Jones polynomial and Witten's invariant of 3d manifolds. I
• On the Melvin-Morton-Rozansky conjecture
• Knot polynomials and Vassiliev's invariants
• VASSILIEV INVARIANTS FOR TORUS KNOTS
• Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
• The coloured Jones function and Alexander polynomial for torus knots

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