\(G\)-homotopy equivalent manifolds and \(J_G\)-homomorphism

DOI10.3792/pjaa.54.104zbMath0406.55014OpenAlexW1988503809MaRDI QIDQ1257701

Katsuo Kawakubo

Publication date: 1978

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.54.104

zbMATH Keywords

Equivariant Dold's TheoremEquivariant J- HomomorphismEquivariant Spherical FibrationsEquivariant Vector BundlesG-Fiber Homotopy Equivalence

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Homotopy equivalences in algebraic topology (55P10) Compact Lie groups of differentiable transformations (57S15) Characteristic classes and numbers in differential topology (57R20) Equivariant cobordism (57R85) (J)-morphism (55Q50)

Related Items (1)

Weyl Group Actions and Equivariant Homotopy Equivalence

Cites Work

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• Equivariant Riemann-Roch theorems, localization and formal group law
• A note on free differentiable actions of \(S^ 1\) and \(S^ 3\) on homotopy spheres
• Characteristic numbers of G-manifolds. I
• On the groups \(J(X)\). I
• Über fasernweise Homotopieäquivalenz von Faserräumen
• Thom Complexes
• Free and semi-free differentiable actions on homotopy spheres

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