Semiclassical Approximation for Chern-Simons Theory and 3-Hyperbolic Invariants

Abstract

The invariant integration method for Chern-Simons theory defined on the compact hyperbolic manifold Γ\H^3 is verified in the semiclassical approximation. The semiclassical limit for the partition function is presented. We discuss briefly L^2 - analytic torsion and the eta invariant of Atiyah-Patodi-Singer for compact hyperbolic 3-manifolds.

7 pages; AMSART

References in corpus (3)

• Ray-Singer Torsion for a Hyperbolic 3-Manifold and Asymptotics of Chern-Simons-Witten Invariant
• The semiclassical approximation for the Chern-Simons partition function
• Analytic Torsion on Hyperbolic Manifolds and the Semiclassical Approximation for Chern-Simons Theory

Cited by in corpus (3)

• Heat-Kernel Asymptotics of Locally Symmetric Spaces of Rank One and Chern-Simons Invariants
• Hyperbolic Topological Invariants and the Black Hole Geometry
• Determinant Line Bundles and Topological Invariants of Hyperbolic Geometry - Expository Remarks