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arxiv: hep-th/9908037 · v1 · submitted 1999-08-04 · ✦ hep-th

Chern-Simons Invariants of Closed Hyperbolic 3-Manifolds

classification ✦ hep-th
keywords chern-simonsinvariantshyperbolicmanifoldsatiyah-patodi-singerclosedcompactconnections
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The Chern-Simons invariants of irreducible U(n)- flat connections on compact hyperbolic 3-manifolds of the form {\Gamma}\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.

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