On powers of the Euler class for flat circle bundles

DOI10.1142/S1793525318500061zbMath1384.57015arXiv1610.00330OpenAlexW2527675678MaRDI QIDQ4599150

Sam Nariman

Publication date: 18 December 2017

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.00330

zbMATH Keywords

Euler classanalytic diffeomorphisms of the circleflat circle bundleHaefliger space

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Fiber bundles in algebraic topology (55R10) Differential topological aspects of diffeomorphisms (57R50)

Cites Work

• On the homology of Lie groups made discrete
• Nontriviality of the Gelfand-Fuchs characteristic classes for flat \(S^1\)-bundles
• Braid groups and discrete diffeomorphisms of the punctured disk
• Stable homology of surface diffeomorphism groups made discrete
• Homological stability and stable moduli of flat manifold bundles
• Foliations and groups of diffeomorphisms
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