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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Journal of Dynamical Systems and Geometric Theories
Open Access Original Articles

Complex Topological Invariants of Three-Hyperbolic Manifolds

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pp. 1–27Vol. 4Issue 1May 2006DOI: 10.1080/1726037X.2006.10698500XML
Received:
28 Feb 2005
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2006.10698500
Pages:
1–27

Abstract

We derive invariants associated with compact real three-dimensional hyperbolic manifolds which can be combined to form a component of Thurston complex invariant. Explicit formulas for the Chern-Simons invariant of irreducible U(n)–flat connections on hyperbolic fibered manifolds are obtained. We discuss supersymmetry surviving for supergravity solutions involving real hyperbolic factors, and briefly review the determinant line bundle with its connection to the eta invariant, the global anomaly formula, and the vanishing theorems for type (0, q) cohomology of locally symmetric spaces.

Keywords

Complex topological invariantHyperbolic manifolds

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