English

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

High Energy Physics - Theory 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0108199,
  title  = {Determinant Line Bundles and Topological Invariants of Hyperbolic Geometry - Expository Remarks},
  author = {A. A. Bytsenko and M. C. Falleiros and A. E. Goncalves and Z. G. Kuznetsova},
  journal= {arXiv preprint arXiv:hep-th/0108199},
  year   = {2009}
}

Comments

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