Homotopy representations of the torus

DOI10.1007/BF01304817zbMath0502.57022OpenAlexW2071790539MaRDI QIDQ1172848

Tammo tom Dieck

Publication date: 1982

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01304817

zbMATH Keywords

representation ringcircle actionstorus actionsalgebraic dimension data of the fixed point setshomotopy analogs of linear representations on spheres

Mathematics Subject Classification ID

Homotopy theory (55P99) Topological transformation groups (57S99) Compact groups of homeomorphisms (57S10) Classical topics in algebraic topology (55M99)

Related Items (5)

The Grothendieck group of spheres with semilinear actions for a compact Lie group ⋮ The Picard group of equivariant stable homotopy theory ⋮ Dimension functions of homotopy representations for compact Lie groups ⋮ Homotopiedarstellungen endlicher Gruppen: Dimensionsfunktionen ⋮ Nonlinear analogs of linear group actions on spheres

Cites Work

• Transformation groups and representation theory
• Cohomology of \(S^ 1-\)orbit spaces of cohomology spheres and cohomology complex projective spaces
• Smooth compact Lie group actions on disks
• Pseudo linear spheres
• Homotopy representations of finite groups
• Equivariant K-theory
• Lokalisierung äquivarianter Kohomologie-Theorien. (Localization of equivariant cohomology theories.)
• Seminar on Transformation Groups. (AM-46)
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