Some Canonical Cohomology Classes on Groups of Volume Preserving Diffeomorphisms

DOI10.2307/1999024zbMath0522.57029OpenAlexW4232370150MaRDI QIDQ3672743

Dusa McDuff

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999024

zbMATH Keywords

foliationclassifying spaces for foliated bundlescohomology classes on groups of volume preserving diffeomorphismsgroup of compactly supported diffeomorphisms which preserve a smooth volume form

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items (7)

Global Invariants for Measured Foliations ⋮ Local homology of groups of volume-preserving diffeomorphisms. III ⋮ On the moduli space of flat symplectic surface bundles ⋮ Diffeomorphism groups of compact manifolds ⋮ Exotic classes for measured foliations ⋮ Nonvanishing Local Cohomology Classes ⋮ Applications of convex integration to symplectic and contact geometry

Cites Work

• Fibre bundles and the Euler characteristic
• Difféomorphismes d'une variété symplectique non compacte
• Sur la structure du groupe des difféomorphismes qui preservent une forme symplectique
• Exotic classes for measured foliations
• Local homology of groups of volume preserving diffeomorphisms. I
• Diffeomorphisms and Volume-Preserving Embeddings of Noncompact Manifolds
• On Groups of Volume-Preserving Diffeomorphisms and Foliations with Transverse Volume Form

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