Cheeger-Chern-Simons classes of transversally symmetric foliations: Dependence relations and eta-invariants

DOI10.1007/BF01444896zbMath0793.57015MaRDI QIDQ1318016

Johan L. Dupont, Franz W. Kamber

Publication date: 25 August 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165051

zbMATH Keywords

eta-invariantproportionality principleCheeger-Chern-Simons classdegree of dependencecompact locally symmetric Hermitian spacessecondary characteristic numberstransversally symmetric foliation

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Foliations (differential geometric aspects) (53C12) Differential geometry of symmetric spaces (53C35) Foliations in differential topology; geometric theory (57R30)

Related Items (3)

Extended Bloch group and the Cheeger-Chern-Simons class ⋮ Bloch invariants of hyperbolic \(3\)-manifolds ⋮ Computing Arithmetic Invariants of 3-Manifolds

Cites Work

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• The dilogarithm as a characteristic class for flat bundles
• On a generalization of Cheeger-Chern-Simons classes
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• Spectral symmetry of the Dirac operator for compact and noncompact symmetric pairs
• Eta invariants of Dirac operators on locally symmetric manifolds
• Foliated bundles and characteristic classes
• Transgressions, Chern-Simons invariants and the classical groups
• Spectral asymmetry and Riemannian Geometry. I
• Non-trivial characteristic invariants of homogeneous foliated bundles

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