Degree of certain equivariant maps into a representation sphere

DOI10.1016/0166-8641(94)90091-4zbMath0836.55007OpenAlexW1994374583MaRDI QIDQ1336601

George Peschke

Publication date: 3 November 1994

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(94)90091-4

zbMATH Keywords

representationcompact Lie groupequivariant homotopy classesequivariant degreeequivariant obstructionsfree orbitsequivariant stable stemnon-free orbits

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Compact Lie groups of differentiable transformations (57S15) Equivariant homotopy groups (55Q91) Equivariant operations and obstructions in algebraic topology (55S91)

Related Items (5)

Twisted homotopy theory and the geometric equivariant 1-stem ⋮ Taylor--Couette problem and related topics ⋮ Twisted \(\Gamma \times \mathbb T^n\)-equivariant degree with \(n\)-parameters: computational formulae and applications ⋮ Hopf bifurcations of functional-differential equations with dihedral symmetries ⋮ Computation of the equivariant 1-stem.

Cites Work

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• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Transformation groups
• The equivariant triangulation theorem for actions of compact Lie groups
• Framings of sphere bundles over pheres, the plumbing pairing, and the framed bordism classes of rank two simple Lie groups
• Zerspaltung äquivarianter Homotopiemengen
• Compact Lie groups and the stable homotopy of spheres
• An $S^1$-equivariant degree and the Fuller index
• Degree Theory for Equivariant Maps. I

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