Determinant Line Bundles and Topological Invariants of Hyperbolic Geometry - Expository Remarks
A.A. Bytsenko, M.C. Falleiros, A.E. Goncalves, Z.G. Kuznetsova
TL;DR
This paper explores the properties of twisted determinant line bundles and Chern-Simons invariants in hyperbolic geometry, deriving the index of a twisted Dirac operator and discussing applications in topological quantum field theory.
Contribution
It provides new insights into the relationship between determinant line bundles, topological invariants, and hyperbolic geometry, with explicit index calculations and potential applications.
Findings
Derived the index of a twisted Dirac operator.
Analyzed properties of twisted determinant line bundles.
Discussed applications in topological quantum field theory.
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.
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