Chern-Simons Invariants of Closed Hyperbolic 3-Manifolds

Abstract

The Chern-Simons invariants of irreducible U(n)- flat connections on compact hyperbolic 3-manifolds of the form Γ\H^3 are derived. The explicit formula for the Chern-Simons functional is given in terms of Selberg type zeta functions related to the twisted eta invariants of Atiyah-Patodi-Singer.

10 pages, 2 diagrams

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 (1)

• Heat-Kernel Asymptotics of Locally Symmetric Spaces of Rank One and Chern-Simons Invariants