scientific article

zbMath0467.57007MaRDI QIDQ3920322

André Haefliger

Publication date: 1979

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

group cohomologyinfinite dimensional Lie algebrascharacteristic classes of foliationsdifferentiable cohomology of Haefliger's classifying spacedifferentiable cohomology of Lie groupsGelfand-Fuks cohomology of the Lie algebra of formal vector fields

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Infinite-dimensional Lie (super)algebras (17B65) Homological methods in group theory (20J05) Sheaf cohomology in algebraic topology (55N30) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Cohomology of Lie (super)algebras (17B56) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Homology and cohomology of homogeneous spaces of Lie groups (57T15) General theory of spectral sequences in algebraic topology (55T05)

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Geometric construction of Hopf cyclic characteristic classes ⋮ Central extensions of infinite-dimensional Lie algebras and Lie groups, Virasoro algebra and generalizations ⋮ Local homology of groups of volume-preserving diffeomorphisms. III ⋮ Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups ⋮ A gerbe for the elliptic gamma function ⋮ Affine Manifolds and Orbits of Algebraic Groups ⋮ The Godbillon--Vey cyclic cocycle for PL-foliations ⋮ Bivariant Chern character and longitudinal index ⋮ Cohomology for small categories: \(k\)-graphs and groupoids ⋮ Algèbres de Maurer-Cartan et Holonomie ⋮ The dynamics of open, foliated manifolds and a vanishing theorem for the Godbillon-Vey class

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