Positive scalar curvature and product formulas for secondary index invariants

DOI10.1112/jtopol/jtw005zbMath1354.58019arXiv1412.0685OpenAlexW3105143363MaRDI QIDQ2826642

Rudolf Zeidler

Publication date: 18 October 2016

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0685

zbMATH Keywords

concordanceuniformly positive scalar curvatureexternal product formatYu localization algebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Index theory and related fixed-point theorems on manifolds (58J20) Global Riemannian geometry, including pinching (53C20)

Related Items (19)

On the range of the relative higher index and the higher rho-invariant for positive scalar curvature ⋮ An equivariant Atiyah-Patodi-Singer index theorem for proper actions. II: The \(K\)-theoretic index ⋮ Singular spaces, groupoids and metrics of positive scalar curvature ⋮ An equivariant PPV theorem and Paschke-Higson duality ⋮ Delocalized eta invariants, cyclic cohomology and higher rho invariants ⋮ Approximations of delocalized eta invariants by their finite analogues ⋮ Interior Kasparov products for \(\varrho\)-classes on Riemannian foliated bundles ⋮ Codimension 2 transfer of higher index invariants ⋮ Positive scalar curvature due to the cokernel of the classifying map ⋮ Higher invariants in noncommutative geometry ⋮ Adiabatic groupoid and secondary invariants in K-theory ⋮ Positive scalar curvature and low-degree group homology ⋮ Secondary cup and cap products in coarse geometry ⋮ Coarse indices of twisted operators ⋮ The adiabatic groupoid and the Higson-Roe exact sequence ⋮ On localized signature and higher rho invariant of fibered manifolds ⋮ A variant of Roe algebras for spaces with cylindrical ends with applications in relative higher index theory ⋮ Band width estimates via the Dirac operator ⋮ Slant products on the Higson-Roe exact sequence

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