\(KO\)-obstructions of non-abelian group action on spin manifolds

DOI10.1016/S0166-8641(97)00013-8zbMath0903.19002OpenAlexW2060639284MaRDI QIDQ1371946

Tian-Jun Li, Edgar H. jun. Brown

Publication date: 29 November 1998

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00013-8

zbMATH Keywords

positive scalar curvaturespin manifolds\(KO\)-theorynon-abelian group actionreal Dirac operator

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Obstructions to group actions ((K)-theoretic aspects) (19J35) Stratifications in topological manifolds (57N80)

Cites Work

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• Compact group actions and the topology of manifolds with non-positive curvature
• Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres
• Harmonic spinors
• The fundamental equations of a submersion
• Clifford modules

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