Chern-Simons Invariants of Closed Hyperbolic 3-Manifolds
High Energy Physics - Theory
2009-10-31 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9908037,
title = {Chern-Simons Invariants of Closed Hyperbolic 3-Manifolds},
author = {A. A. Bytsenko and A. E. Goncalves and F. L. Williams},
journal= {arXiv preprint arXiv:hep-th/9908037},
year = {2009}
}
Comments
10 pages, 2 diagrams