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

DOI10.1007/BF01388716zbMath0558.55010WikidataQ56813096 ScholiaQ56813096MaRDI QIDQ762804

Christopher Deninger, Wilhelm Singhof

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/143166

zbMATH Keywords

spectrum of the Laplacianeta-invariantframed manifoldstable homotopy groups of spheresAdams e- invariantcompact nilmanifolds covered by Heisenberg groups

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Differential geometry of homogeneous manifolds (53C30) Index theory and related fixed-point theorems on manifolds (58J20) Differential complexes (58J10) Homotopy groups of topological groups and homogeneous spaces (57T20) (J)-morphism (55Q50) Stable homotopy of spheres (55Q45)

Related Items

James numbers, Continuous measures on homogeneous spaces, Asymptotics and zeta functions on compact nilmanifolds, Leafwise flat forms on Inoue-Bombieri surfaces, Quantum limits of sub-Laplacians via joint spectral calculus, Index theorems on manifolds with straight ends, The \(f\)-invariant and index theory, Equidistribution of dilations of polynomial curves in nilmanifolds, The d-invariant of compact nilmanifolds, Equivariant η-invariants and η-forms, On the topological contents of \(\eta\)-invariants

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