On the homotopy type of \(\text{Diff}(M^n)\) and connected problems

DOI10.5802/aif.453zbMath0258.57004OpenAlexW2332313025MaRDI QIDQ2559853

Dan Burghelea

Publication date: 1973

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1973__23_2_3_0

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Homotopy groups (55Q99) Smoothing in differential topology (57R10)

Related Items (5)

On negatively curved bundles with hyperbolic fibers outside the Igusa stable range ⋮ The Gromoll filtration, \(KO\)-characteristic classes and metrics of positive scalar curvature ⋮ Finiteness properties of automorphism spaces of manifolds with finite fundamental group ⋮ Diffeomorphism groups of compact manifolds ⋮ Unnamed Item

Cites Work

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• Piecewise linear bundles in the stable range
• Infinite-dimensional manifolds are open subsets of Hilbert space
• Hilbert manifolds
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• The concordance-homotopy groups of geometric automorphism groups
• The non-finite homotopy type of some diffeomorphism groups
• $p$-primary components of homotopy groups IV. Compositions and toric constructions

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