The eta invariant and parity conditions.

DOI10.1016/S0001-8708(03)00077-XzbMath1043.58012OpenAlexW2072808748MaRDI QIDQ1424497

B. Yu. Sternin, A. Yu. Savin

Publication date: 14 March 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0001-8708(03)00077-x

zbMATH Keywords

Dirac operatoreta invariantspectral flowK-theoryelliptic operatorparity conditionlinking index

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Eta-invariants, Chern-Simons invariants (58J28) Geometric applications of topological (K)-theory (19L64) Index theory (19K56)

Cites Work

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• The eta invariant for even dimensional \(PIN_ c\) manifolds
• The residue of the global eta function at the origin
• The eta-invariant and parity conditions.
• The \(\eta\)-invariant and Pontryagin duality in \(K\)-theory
• Spectral asymmetry and Riemannian geometry. II
• Spectral asymmetry and Riemannian geometry. III
• Elliptic operators in odd subspaces
• Elliptic operators in even subspaces
• Algèbres de Clifford et $K$-théorie
• Higher spectral flow
• Vector fields on spheres
• Self-duality, Ramond-Ramond fields and \(K\)-theory
• The eta invariant of pin manifolds with cyclic fundamental groups

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