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Chern-Simons Invariants of Closed Hyperbolic 3-Manifolds

A. A. Bytsenko, A. E. Goncalves, F. L. Williams

hep-tharXiv:hep-th/9908037

Abstract

The Chern-Simons invariants of irreducible U(n)- flat connections on compact hyperbolic 3-manifolds of the form Γ3 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.

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