Equivariant cohomology and stable cohomotopy

DOI10.1007/BF01360033zbMath0275.18016MaRDI QIDQ2265498

Czes Kosniowski

Publication date: 1974

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162611

Mathematics Subject Classification ID

Cohomology of groups (20J06) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Lie groups (22E99) Homological algebra in category theory, derived categories and functors (18G99) Homotopy groups (55Q99)

Related Items (15)

Lifting Semifree Actions ⋮ The Equivariant Extension Theorem ⋮ S-duality in tau-cohomology theories ⋮ Equivariant Vector Fields on Spheres ⋮ Obstruction Theory and Multiparameter Hopf Bifurcation ⋮ Equivariant Fixed Point Index and Fixed Point Transfer in Nonzero Dimensions ⋮ Completion of \(G\)-spectra and stable maps between classifying spaces ⋮ Degree Theory for Equivariant Maps. I ⋮ Equivariant Stable Homotopy and Framed Bordism ⋮ Localizing the Burnside ring ⋮ Countable approximation of topological \(G\)-manifolds. III: Arbitrary Lie groups ⋮ An algebraic description of the elliptic cohomology of classifying spaces ⋮ The van Kampen obstruction and its relatives ⋮ Computation of the equivariant 1-stem. ⋮ Hecke functors and the equivariant Dold-Thom theorem

Cites Work

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• Equivariant cohomology theories
• A characterisation of solvable groups
• Equivariant K-theory
• Classifying spaces and spectral sequences
• Bordism of \(G\)-manifolds and integrality theorems
• Lokalisierung äquivarianter Kohomologie-Theorien. (Localization of equivariant cohomology theories.)
• Localizing the Burnside ring
• Deformations of Compact Differentiable Transformation Groups

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