Homotopy invariance of twisted higher signatures on manifolds with boundary

DOI10.24033/bsmf.2350zbMath0945.58020OpenAlexW260823464MaRDI QIDQ4700603

Eric Leichtnam, Paolo Piazza

Publication date: 4 November 1999

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1999__127_2_307_0

zbMATH Keywords

universal coversignature operatorAtiyah-Patodi-Singer higher index theoryhigher eta invariantshomotopy invariantshigher signaturesb-pseudodifferential calculusL-class

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Exotic index theories on manifolds (58J22) Eta-invariants, Chern-Simons invariants (58J28) Noncommutative geometry (à la Connes) (58B34)

Related Items (8)

A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings ⋮ Rho-classes, index theory and Stolz’ positive scalar curvature sequence ⋮ Dirac index classes and the noncommutative spectral flow ⋮ Delocalized eta invariants, cyclic cohomology and higher rho invariants ⋮ Secondary higher invariants and cyclic cohomology for groups of polynomial growth ⋮ Higher invariants in noncommutative geometry ⋮ Elliptic operators and higher signatures. ⋮ Two-cocycle twists and Atiyah–Patodi–Singer index theory

Cites Work

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