Homologies of the group \(Diff^\infty\)(\(R^ n,\)O) and its subgroups

DOI10.1215/KJM/1250522211zbMath0476.57016OpenAlexW1515840444MaRDI QIDQ1160464

Kazuhiko Fukui

Publication date: 1980

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250522211

zbMATH Keywords

commutator subgroupgroup of compactly supported diffeomorphisms of real n-space which fix the origin

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) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Differential topological aspects of diffeomorphisms (57R50)

Related Items (11)

The identity component of the leaf preserving diffeomorphism group is perfect ⋮ Homotopy types of diffeomorphism groups of polar Morse-Bott foliations on lens spaces. I ⋮ The first homology of the group of equivariant diffeomorphisms and its applications ⋮ Boundedness of certain automorphism groups of an open manifold ⋮ Second cohomology classes of the group of \(C^1\)-flat diffeomorphisms ⋮ On the homeomorphism groups of manifolds and their universal coverings ⋮ Diffeomorphism groups of compact manifolds ⋮ On the first homology of automorphism groups of manifolds with geometric structures ⋮ On the first homology of the groups of foliation preserving diffeomorphisms for foliations with singularities of Morse type ⋮ Diffeomorphisms preserving Morse-Bott functions ⋮ Commutators of \(C^{\infty }\)-diffeomorphisms preserving a submanifold

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