An analytic computation of \(ko_{4\nu -1}(BQ_ 8)\)

DOI10.12775/TMNA.1995.035zbMath0851.19005MaRDI QIDQ1918511

Boris Botvinnik, Peter B. Gilkey

Publication date: 18 November 1996

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

Riemannian metricDirac operatoreta invariantgroup representationquaternion groupequivariant spin bordismvirtual representationsspherical space formsGromov-Lawson-Rosenberg conjectureAtiyah-Patodi-Singer theoryconnectivity \(K\)-theory

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Connective (K)-theory, cobordism (19L41) Exotic index theories on manifolds (58J22) Spin and Spin({}^c) geometry (53C27) Bordism and cobordism theories and formal group laws in algebraic topology (55N22)

Related Items (2)

Bruner-Greenlees conjecture on real connective \(K\)-theory of generalized quaternion groups ⋮ Anomalies of non-abelian finite groups via cobordism

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