On the second homology group of the discrete group of diffeomorphisms of the circle

DOI10.1016/0022-4049(89)90095-9zbMath0678.57012OpenAlexW2075525554MaRDI QIDQ1124174

Solomon M. Jekel

Publication date: 1989

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90095-9

zbMATH Keywords

Euler classcobordism classes of transversely foliated circle bundlesdiscrete group of orientation preserving \(C^ r\) diffeomorphisms of the circlesecond homology group of groups of diffeomorphisms

Mathematics Subject Classification ID

Topological transformation groups (57S99) Discontinuous groups of transformations (57S30) Foliations in differential topology; geometric theory (57R30) Connections of group theory with homological algebra and category theory (20J99) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32)

Related Items (2)

Homology of jet groups ⋮ A simplicial formula and bound for the Euler class

Cites Work

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• Third homology of \(\mathrm{SL}(2,\mathbb R)\) made discrete
• A curious remark concerning the geometric transfer map
• Commutators of \(C^{\infty}\)-diffeomorphisms. Appendix to A curious remark concerning the geometric transfer map by John N. Mather
• A simplicial formula and bound for the Euler class
• Commutators of diffeomorphisms
• Classifying spaces and spectral sequences
• Bundles with totally disconnected structure group
• Topological groupoids: II. Covering morphisms andG-spaces
• Noncobordant foliations of 𝑆³

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