On the completion of the G-equivariant unitary cobordism rings of G- spaces

DOI10.2977/PRIMS/1195182445zbMath0531.57033OpenAlexW1966734662MaRDI QIDQ788343

Masayoshi Kamata, Michikazu Fujii

Publication date: 1983

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195182445

zbMATH Keywords

localizationequivariant K-theoryactions of compact Lie groupscompletion of G-equivariant unitary cobordism rings of G-spaces

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Complex cobordism ((mathrm{U})- and (mathrm{SU})-cobordism) (57R77) Equivariant cobordism (57R85)

Cites Work

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• Equivariant Riemann-Roch theorems, localization and formal group law
• Der Conner-Floyd-Isomorphismus für Abelsche Gruppen
• Bordismengruppen unitärer Torusmannigfaltigkeiten
• The relation of cobordism to K-theories
• On the complex bordism of finite complexes
• Equivariant K-theory
• Bordism of \(G\)-manifolds and integrality theorems
• Actions of finite abelian \(p\)-groups without stationary points
• Elementary proofs of some results of cobordism theory using Steenrod operations
• Equivariant \(K\)-theory and completion
• Lokalisierung äquivarianter Kohomologie-Theorien. (Localization of equivariant cohomology theories.)
• Periodische Abbildungen unitärer Mannigfaltigkeiten. (Periodic mappings of unitary manifolds)
• Elements of Infinite Filtration in Complex Cobordism.

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