Product formula for Atiyah-Patodi-Singer index classes and higher signatures

DOI10.1017/is010002020jkt106zbMath1220.19005arXiv0811.0091OpenAlexW2962813102MaRDI QIDQ3061170

Charlotte Wahl

Publication date: 14 December 2010

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0091

zbMATH Keywords

boundary value problemsindex theoryKK-theoryhigher signatures

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Exotic index theories on manifolds (58J22) Index theory (19K56)

Related Items (5)

Higher genera for proper actions of Lie groups. II: The case of manifolds with boundary ⋮ The Atiyah-Patodi-Singer mod k index theorem for Dirac operators over \(C^*\)-algebras ⋮ Mapping the surgery exact sequence for topological manifolds to analysis ⋮ Analytic and topological index maps with values in the \(K\)-theory of mapping cones ⋮ On localized signature and higher rho invariant of fibered manifolds

Cites Work

• Unnamed Item
• Higher eta-invariants
• Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings
• Dirac index classes and the noncommutative spectral flow
• On the cut-and-paste property of higher signatures of a closed oriented manifold
• Elliptic operators and higher signatures.
• A \(K\)-theoretic relative index theorem and Callias-type Dirac operators
• A higher Atiyah-Patodi-Singer index theorem for the signature operator on Galois coverings

This page was built for publication: Product formula for Atiyah-Patodi-Singer index classes and higher signatures