The d-invariant of compact nilmanifolds

DOI10.1007/BF01388717zbMath0558.55009MaRDI QIDQ762802

Wilhelm Singhof

Publication date: 1984

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143167

zbMATH Keywords

framed manifoldsstable homotopy groups of spheresAdams-d-invariantindex of the Dirac operatorsimply connected nilpotent Lie group

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Index theory and related fixed-point theorems on manifolds (58J20) (J)-morphism (55Q50) Stable homotopy of spheres (55Q45)

Related Items

The e-invariant and the spectrum of the Laplacian for compact nilmanifolds covered by Heisenberg groups

Cites Work

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• The e-invariant and the spectrum of the Laplacian for compact nilmanifolds covered by Heisenberg groups
• Rank and Adams filtration of a Lie group
• Compact Lie groups and the stable homotopy of spheres
• On the groups \(J(X)\). IV
• Clifford modules
• The index of elliptic operators. IV, V