Dirac index classes and the noncommutative spectral flow

DOI10.1016/S0022-1236(02)00044-7zbMath1030.58018OpenAlexW2098179009MaRDI QIDQ1395792

Paolo Piazza, Eric Leichtnam

Publication date: 1 July 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(02)00044-7

zbMATH Keywords

boundary value problemsspectral flowAtiyah-Patodi-Singer index\(b\)-index classescut-and-paste invariancegluing formulaenocommutative spectral projection

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Spectral flows (58J30)

Related Items (16)

Higher genera for proper actions of Lie groups. II: The case of manifolds with boundary ⋮ SPECTRAL FLOW, INDEX AND THE SIGNATURE OPERATOR ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. II: Relative \(\eta\)-invariants ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. III: Higher invariants ⋮ Noncommutative Maslov index and \(\eta \)-forms reconsidered ⋮ The Atiyah-Patodi-Singer mod k index theorem for Dirac operators over \(C^*\)-algebras ⋮ Spectral sections, twisted rho invariants and positive scalar curvature ⋮ Equivariant eta forms and equivariant differential \(K\)-theory ⋮ Positive scalar curvature on spin pseudomanifolds: the fundamental group and secondary invariants ⋮ Elliptic operators and higher signatures. ⋮ Product formula for Atiyah-Patodi-Singer index classes and higher signatures ⋮ The relative Mishchenko-Fomenko higher index and almost flat bundles. I: The relative Mishchenko-Fomenko index ⋮ Analytic and topological index maps with values in the \(K\)-theory of mapping cones ⋮ Two-cocycle twists and Atiyah–Patodi–Singer index theory ⋮ When are Fredholm triples operator homotopic? ⋮ The mathematical work of V. K. Patodi

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