Asymptotic expansions of Witten–Reshetikhin–Turaev invariants for some simple 3-manifolds

DOI10.1063/1.531237zbMath0877.57008OpenAlexW2135033092MaRDI QIDQ4871932

R. J. Lawrence

Publication date: 10 December 1997

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

Full work available at URL: https://doi.org/10.1063/1.531237

zbMATH Keywords

rational homology 3-sphereWitten-Reshetikhin-Turaev invariantsCasson-Walker invariantSeifert fibered \(3\)-manifolds

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items

Quantum invariants, modular forms, and lattice points II ⋮ ON OHTSUKI'S INVARIANTS OF HOMOLOGY 3-SPHERES ⋮ Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants ⋮ Witten's invariants of rational homology spheres at prime values of \(K\) and trivial connection contribution ⋮ ON THE QUANTUM INVARIANT FOR THE BRIESKORN HOMOLOGY SPHERES ⋮ The quantum invariant of the complement of a regular neighborhood of a link ⋮ The universal \(R\)-matrix, Burau representation, and the Melvin-Morton expansion of the colored Jones polynomial ⋮ On \(p\)-adic convergence of perturbative invariants of some rational homology spheres ⋮ A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres ⋮ Cyclotomic completions of polynomial rings ⋮ Invariants of Three-Manifolds, Unitary Representations of the Mapping Class Group, and Numerical Calculations ⋮ On the quantum invariants for the spherical Seifert manifolds ⋮ On Ohtsuki's invariants of integral homology 3-spheres ⋮ CHERN–SIMONS THEORY, EXACTLY SOLVABLE MODELS AND FREE FERMIONS AT FINITE TEMPERATURE ⋮ Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial

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