Semiclassical approximation for Chern-Simons theory and \(3\)-hyperbolic invariants.

DOI10.1016/S0370-2693(99)00721-2zbMath1058.58504arXivhep-th/9906092MaRDI QIDQ5934578

Luciano Vanzo, Sergio Zerbini, Andrei A. Bytsenko

Publication date: 7 May 2001

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9906092

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Eta-invariants, Chern-Simons invariants (58J28) Determinants and determinant bundles, analytic torsion (58J52) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (3)

HYPERBOLIC TOPOLOGICAL INVARIANTS AND THE BLACK HOLE GEOMETRY ⋮ On Partition Functions of Hyperbolic Three-Geometry and Associated Hilbert Schemes ⋮ Complex Topological Invariants of Three-Hyperbolic Manifolds

Cites Work

• The Selberg trace formula and the Ruelle zeta function for compact hyperbolics
• Topological gauge theories and group cohomology
• Analytic torsion and closed geodesics on hyperbolic manifolds
• Quantum field theory and the Jones polynomial
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Computer calculation of Witten's 3-manifold invariant
• Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
• Closed geodesics and the \(\eta\)-invariant
• Instantons and fermions in the field of instanton
• Chern-Simons perturbation theory. II
• Ray-Singer torsion for a hyperbolic 3-manifold and asymptotics of Chern-Simons-Witten invariant
• Ribbon graphs and their invariants derived from quantum groups
• A large \(k\) asymptotics of Witten's invariant of Seifert manifolds
• A contribution of the trivial connection to the Jones polynomial and Witten's invariant of 3d manifolds. I
• Invariants of 3-manifolds via link polynomials and quantum groups
• R-torsion and the Laplacian on Riemannian manifolds
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. II
• Spectral asymmetry and Riemannian geometry. III

This page was built for publication: Semiclassical approximation for Chern-Simons theory and \(3\)-hyperbolic invariants.