Local homology of groups of volume preserving diffeomorphisms. I

DOI10.24033/asens.1438zbMath0577.58005OpenAlexW2735386033MaRDI QIDQ3697926

Dusa McDuff

Publication date: 1982

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1982_4_15_4_609_0

zbMATH Keywords

classifying spacetopological groupvolume preserving diffeomorphismslocal homologycompactly supported \(\omega \) -preserving diffeomorphisms

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)

Related Items (8)

Global Invariants for Measured Foliations ⋮ Local homology of groups of volume-preserving diffeomorphisms. III ⋮ Thurston’s fragmentation and c-principles ⋮ Some Canonical Cohomology Classes on Groups of Volume Preserving Diffeomorphisms ⋮ Diffeomorphism groups of compact manifolds ⋮ The Calabi invariant and the Euler class ⋮ Exotic classes for measured foliations ⋮ Applications of convex integration to symplectic and contact geometry

Cites Work

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• The homology of some groups of diffeomorphisms
• Difféomorphismes d'une variété symplectique non compacte
• Sur la structure du groupe des difféomorphismes qui preservent une forme symplectique
• Classifying spaces related to foliations
• Acyclic maps
• Integrability in codimension 1
• The vanishing of the homology of certain groups of homeomorphisms
• Continuation of diffeomorphisms retaining volume
• Diffeomorphisms and Volume-Preserving Embeddings of Noncompact Manifolds
• Foliations and groups of diffeomorphisms
• On Groups of Volume-Preserving Diffeomorphisms and Foliations with Transverse Volume Form
• On Tangle Complexes and Volume-Preserving Diffeomorphisms of Open 3-Manifolds
• Diffeomorphisms of the 2-Sphere

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