The homotopy type of the space of diffeomorphisms. I
From MaRDI portal
Publication:4049839
DOI10.1090/S0002-9947-1974-0356103-2zbMath0296.58003MaRDI QIDQ4049839
Dan Burghelea, Richard K. Lashof
Publication date: 1974
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Homotopy groups, general; sets of homotopy classes (55Q05) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Embeddings in differential topology (57R40) Embeddings and immersions in PL-topology (57Q35) Differential topological aspects of diffeomorphisms (57R50) Triangulating (57R05)
Related Items (23)
On negatively curved bundles with hyperbolic fibers outside the Igusa stable range ⋮ A parametrized index theorem for the algebraic \(K\)-theory Euler class. ⋮ Symplectomorphisms of exotic discs ⋮ The Gromoll filtration, \(KO\)-characteristic classes and metrics of positive scalar curvature ⋮ The derivative map for diffeomorphism of disks: an example ⋮ The homotopy type of the topological cobordism category ⋮ Diffeomorphism groups of non-compact manifolds endowed with the Whitney \(C^\infty\)-topology ⋮ On the Higher Whitehead Groups of a Bieberbach Group ⋮ Curvature, tangentiality, and controlled topology ⋮ Characteristic numbers of manifold bundles over surfaces with highly connected fibers ⋮ The cohomology of Torelli groups is algebraic ⋮ Exotic smooth structures on topological fiber bundles I ⋮ Braid groups and discrete diffeomorphisms of the punctured disk ⋮ On the delooping of (framed) embedding spaces ⋮ Three applications of delooping to \(h\)-principles ⋮ On groups of linear, smooth, and topological equivariant automorphisms ⋮ Finite group actions on Kervaire manifolds ⋮ A local to global argument on low dimensional manifolds ⋮ Riemannian foliation with exotic tori as leaves ⋮ Homotopy of spaces of diffeomorphisms of some three-dimensional manifolds ⋮ Exotic spheres and the topology of symplectomorphism groups ⋮ Deloopings of the spaces of long embeddings ⋮ A homological approach to pseudoisotopy theory. I.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Microbundles and smoothing
- Homotopy groups of the space of homeomorphisms on a 2-manifold
- Infinite-dimensional manifolds are open subsets of Hilbert space
- A fibre bundle description of Teichmüller theory
- Hilbert manifolds
- La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
- Deformations of spaces of imbeddings
- The concordance-homotopy groups of geometric automorphism groups
- The non-finite homotopy type of some diffeomorphism groups
- Parametrized \(h\)-cobordism theory
- On \(C^1\)-complexes
- $p$-primary components of homotopy groups IV. Compositions and toric constructions
- Elementary Differential Topology. (AM-54)
- Immersions and surgeries of topological manifolds
- On the triangulation of manifolds and the Hauptvermutung
- Δ-SETS I: HOMOTOPY THEORY
- Diffeomorphisms of the 2-Sphere
This page was built for publication: The homotopy type of the space of diffeomorphisms. I