The first homology of the group of equivariant diffeomorphisms and its applications

DOI10.1112/jtopol/jtn008zbMath1145.58005arXivmath/0703320OpenAlexW2042900597MaRDI QIDQ3507700

Kazuhiko Fukui, Kōjun Abe

Publication date: 20 June 2008

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

Full work available at URL: https://arxiv.org/abs/math/0703320

zbMATH Keywords

foliationsgroup of diffeomorphismsgroup of equivariant diffeomorphismshomology of groups of diffeomorphismssmooth orbifolds

Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items

On the first homology of automorphism groups of manifolds with geometric structures ⋮ Commutator length of leaf preserving diffeomorphisms ⋮ On the first homology of the groups of foliation preserving diffeomorphisms for foliations with singularities of Morse type ⋮ Commutators of \(C^{\infty }\)-diffeomorphisms preserving a submanifold

Cites Work

• Unnamed Item
• On commutators of foliation preserving Lipschitz homeomorphisms
• The Gauss-Bonnet theorem for \(V\)-manifolds
• Lifting smooth homotopies of orbit spaces
• Local classification of quotients of smooth manifolds by discontinuous groups
• Homologies of the group \(Diff^\infty\)(\(R^ n,\)O) and its subgroups
• Smooth functions invariant under the action of a compact Lie group
• Lifting isotopies from orbit spaces
• On the structure of the group of equivariant diffeomorphisms
• On commutators of equivariant diffeomorphisms
• On the structure of the group of Lipschitz homeomorphisms and its subgroups. II
• The identity component of the leaf preserving diffeomorphism group is perfect
• ON THE GROUP OF FOLIATION PRESERVING DIFFEOMORPHISMS
• Local Contractions and a Theorem of Poincare
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Foliations and groups of diffeomorphisms
• Foliations with all leaves compact
• On the structure of the group of equivariant diffeomorphisms of \(G\)-manifolds with codimension one orbit

This page was built for publication: The first homology of the group of equivariant diffeomorphisms and its applications