The Transfer and Compact Lie Groups

DOI10.2307/1998687zbMath0457.55009OpenAlexW2018889767MaRDI QIDQ3906784

Mark Feshbach

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998687

zbMATH Keywords

double coset formulafibration between classifying spaces of compact Lie groupstransfers for fibrations with compact fibres

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Topological transformation groups (57S99) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (7)

Characteristic classes and transfer relations in cobordism ⋮ Splittings of global Mackey functors and regularity of equivariant Euler classes ⋮ Some General Theorems on the Cohomology of Classifying Spaces of Compact Lie Groups ⋮ Generalized Artin and Brauer induction for compact Lie groups ⋮ Equivariant properties of symmetric products ⋮ The transfer and symplectic cobordism ⋮ The Relative Burnside Module and the Stable Maps Between Classifying Spaces of Compact Lie Groups

Cites Work

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• Evaluation of the transfer and the universal surgery classes
• The fixed point transfer of fiber-preserving maps
• Fixed point index and fixed point theorem for Euclidean neighborhood retracts
• The triangulability of the orbit space of a differentiable transformation group
• The classification of 𝐺-spaces

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