The homology of some groups of diffeomorphisms

DOI10.1007/BF02566677zbMath0448.57015MaRDI QIDQ1146912

Dusa McDuff

Publication date: 1980

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/139816

zbMATH Keywords

acyclic mapsclassifying space for topological Haefliger structureshomology fibrationsmonoids of embeddinsspaces of homeomorphisms

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Embeddings in differential topology (57R40) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Fiber spaces in algebraic topology (55R05) Differential topological aspects of diffeomorphisms (57R50)

Related Items (19)

Local homology of groups of volume preserving diffeomorphisms. I ⋮ A parametrized index theorem for the algebraic \(K\)-theory Euler class. ⋮ Piecewise projective homeomorphisms and a noncommutative Steinberg extension ⋮ Local homology of groups of volume-preserving diffeomorphisms. III ⋮ Homological stability and stable moduli of flat manifold bundles ⋮ Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups ⋮ Thurston’s fragmentation and c-principles ⋮ Controlled Mather-Thurston theorems ⋮ Unnamed Item ⋮ Marked homeomorphisms and the realization problem ⋮ Diffeomorphism groups of compact manifolds ⋮ Additivity for the parametrized topological Euler characteristic and Reidemeister torsion ⋮ Braid groups and discrete diffeomorphisms of the punctured disk ⋮ Generators and relations in the classifying space for pl foliations ⋮ Three applications of delooping to \(h\)-principles ⋮ Quasicomplementary foliations and the Mather-Thurston theorem ⋮ Homological stability for topological chiral homology of completions ⋮ Automorphisms of Manifolds and Algebraic K-Theory: Part III ⋮ A local to global argument on low dimensional manifolds

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