Characteristic Classes of Transversely Homogeneous Foliations

DOI10.2307/2000265zbMath0573.57013OpenAlexW4239097872MaRDI QIDQ3692493

Chal Benson, David B. Ellis

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000265

zbMATH Keywords

semi-simple Lie groupBott connectionWeil algebracharacteristic classes of foliationsrigid classestransversely homogeneous foliations

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Foliations in differential topology; geometric theory (57R30) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32)

Related Items (4)

A remark on the Bott class ⋮ Classes caractéristiques de \(\Gamma\) (G,H)-structures et finitude de leur evaluation. (Characteristic classes of \(\Gamma\) (G,H)-structures and finiteness of their evaluation) ⋮ Volume of representations and mapping degree ⋮ Infinitesimal derivative of the Bott class and the Schwarzian derivatives

Cites Work

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• Deformations of secondary characteristic classes
• The secondary characteristic classes of parabolic foliations
• On the secondary classes of foliations with trivial normal bundles
• Cohomology of infinite-dimensional Lie algebras and characteristic classes of foliations
• Foliated bundles and characteristic classes
• On characteristic classes of Riemannian, conformal and projective foliations
• On a class of foliations and the evaluation of their characteristic classes
• Independent variation of secondary classes
• Transversely homogeneous foliations
• Secondary invariants of transversely homogeneous foliations
• The Godbillon-Vey Invariant of a Transversely Homogeneous Foliation
• 𝐺-foliations and their characteristic classes
• Noncobordant foliations of 𝑆³
• Cohomology Theory of Lie Groups and Lie Algebras

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