Homotopy invariance of η-invariants

DOI10.1073/pnas.85.15.5362zbMath0659.57016OpenAlexW1561987246WikidataQ33634014 ScholiaQ33634014MaRDI QIDQ3808887

Shmuel Weinberger

Publication date: 1988

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.85.15.5362

zbMATH Keywords

Novikov conjecturesignature operatoreta-invariantintersection homologysmooth manifoldhomotopy invarianthigher signaturerepresentation of fundamental group

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Characteristic classes and numbers in differential topology (57R20) Index theory and related fixed-point theorems on manifolds (58J20) Global differential geometry (53C99) Fundamental group, presentations, free differential calculus (57M05) Algebraic topology on manifolds and differential topology (57R19)

Related Items (13)

THE SYMMETRIC SIGNATURE OF A WITT SPACE ⋮ The Novikov conjecture for linear groups ⋮ Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras ⋮ Signatures of Witt spaces with boundary ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. II: Relative \(\eta\)-invariants ⋮ Spectral sections, twisted rho invariants and positive scalar curvature ⋮ Positive scalar curvature metrics via end-periodic manifolds ⋮ On the rho invariant for manifolds with boundary ⋮ On Invariants of Hirzebruch and Cheeger-Gromov ⋮ Homotopy invariance of relative eta-invariants and 𝐶*-algebra 𝐾-theory ⋮ The Higson-Roe exact sequence and \(\ell^2\) eta invariants ⋮ Jumps of the eta-invariant. (With an appendix by Shmuel Weinberger: Rationality of \(\rho\)-invariants) ⋮ Spectral flow, eta invariants, and von Neumann algebras

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