Semiclassical approximation for Chern-Simons theory and 3-hyperbolic invariants

The invariant integration method for Chern-Simons theory defined on the compact hyperbolic manifold Γ\H3 is verified in the semiclassical approximation. The semiclassical limit for the partition function is presented. We discuss briefly L2-analytic torsion and the eta invariant of Atiyah-Patodi-Singer for compact hyperbolic 3-manifolds.