A geometric proof of the Atiyah-Patodi-Singer mod \(k\) index theorem for Dirac operators

DOI10.1007/s40590-019-00252-4zbMath1440.58010OpenAlexW2953828235MaRDI QIDQ2188997

Adnane Elmrabty

Publication date: 15 June 2020

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-019-00252-4

zbMATH Keywords

spectral flowdirect image\(\eta\)-invariantgeometric K-homology\(\mathbb{Z}/k\mathbb{Z}\)-\(K\)-theory

Mathematics Subject Classification ID

Eta-invariants, Chern-Simons invariants (58J28) Spectral flows (58J30) Riemann-Roch theorems, Chern characters (19L10)

Cites Work

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• Algebraic topology and elliptic operators
• Real embeddings and the Atiyah-Patodi-Singer index theorem for Dirac operators

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