K-theory for spherical space forms

DOI10.1016/0166-8641(87)90012-5zbMath0615.55007OpenAlexW2075111528MaRDI QIDQ1820464

Peter B. Gilkey, Max Karoubi

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0166-8641(87)90012-5

zbMATH Keywords

Clifford algebrasrepresentation theoryequivariant cobordismfundamental group of a spherical space formreal, complex, and quaternionic K-theory

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Ordinary representations and characters (20C15) Topological (K)-theory (55N15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (3)

The eta invariant and K0 of lens spaces ⋮ A Higher Order Invariant of Differential Manifolds ⋮ On smooth manifolds with the homotopy type of a homology sphere

Cites Work

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• The eta invariant and the K-theory of odd dimensional spherical space forms
• The eta invariant, \(Pin^ c\) bordism, and equivariant \(Spin^ c\) bordism for cyclic 2-groups
• KO-groups of lens spaces modulo powers of two
• On the KO-ring of \(S^{4n+3}/H_m\)
• γ-DIMENSION AND PRODUCTS OF LENS SPACES
• Algèbres de Clifford et $K$-théorie
• Free Actions of Generalized Quaternion Groups on Spheres

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