Determinant Line Bundles and Topological Invariants of Hyperbolic Geometry - Expository Remarks

Abstract

We give some remarks on twisted determinant line bundles and Chern-Simons topological invariants associated with real hyperbolic manifolds. Index of a twisted Dirac operator is derived. We discuss briefly application of obtained results in topological quantum field theory.

10 pages. To appear in G@C, special issue devoted to QG, Unified Models and Strings, to mark 100th Anniversary of Tomsk State Pedagogical University. Editor - S.D. Odintsov

References in corpus (2)

• Ray-Singer Torsion for a Hyperbolic 3-Manifold and Asymptotics of Chern-Simons-Witten Invariant
• Semiclassical Approximation for Chern-Simons Theory and 3-Hyperbolic Invariants