On the homotopy invariance of higher signatures for manifolds with boundary

DOI10.4310/jdg/1214339793zbMath1032.58012arXivmath/9907101OpenAlexW2106827541WikidataQ115194520 ScholiaQ115194520MaRDI QIDQ1609778

Eric Leichtnam, John Lott, Paolo Piazza

Publication date: 15 August 2002

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907101

zbMATH Keywords

cyclic cohomologyhigher index theoryNovikov conjecture on manifolds with boundary

Mathematics Subject Classification ID

Exotic index theories on manifolds (58J22) Eta-invariants, Chern-Simons invariants (58J28) Boundary value problems on manifolds (58J32) Index theory (19K56)

Related Items (9)

A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings ⋮ Higher genera for proper actions of Lie groups. II: The case of manifolds with boundary ⋮ Noncommutative Maslov index and \(\eta \)-forms reconsidered ⋮ Rho-classes, index theory and Stolz’ positive scalar curvature sequence ⋮ Dirac index classes and the noncommutative spectral flow ⋮ Spectral sections, twisted rho invariants and positive scalar curvature ⋮ \(K\)-theory of relative group \(C^*\)-algebras and the relative Novikov conjecture ⋮ Higher invariants in noncommutative geometry ⋮ Elliptic operators and higher signatures.

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