On the real secondary classes of transversely holomorphic foliations

DOI10.5802/aif.1782zbMath0964.58018OpenAlexW2330965027MaRDI QIDQ1572641

Taro Asuke

Publication date: 19 July 2000

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_3_995_0

zbMATH Keywords

characteristic classesfoliationstransverse holomorphic structure

Mathematics Subject Classification ID

Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Foliations (differential geometric aspects) (53C12) Singularities of holomorphic vector fields and foliations (32S65)

Related Items (5)

A remark on the Bott class ⋮ Transverse geometry and generalized complex structures ⋮ On the real secondary classes of transversely holomorphic foliations. II ⋮ A Fatou-Julia decomposition of transversally holomorphic foliations ⋮ Infinitesimal derivative of the Bott class and the Schwarzian derivatives

Cites Work

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• Ergodic theory and Weil measures for foliations
• Continuous variation of foliations in codimension two
• Independent rigid secondary classes for holomorphic foliations
• Foliated bundles and characteristic classes
• Independent variation of secondary classes
• Invariance of the Godbillon-Vey class by \(C^1\)-diffeomorphisms for higher codimensional foliations
• On the real secondary classes of transversely holomorphic foliations. II
• A remark on the Bott class
• On manifolds locally modelled on non-Riemannian homogeneous spaces
• Lectures on algebraic and differential topology
• Proper actions on reductive homogeneous spaces
• On characteristic classes of $\Gamma $-foliations
• Noncobordant foliations of 𝑆³

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