Positive Scalar Curvature, K-area and Essentialness

DOI10.1007/978-3-642-22842-1_10zbMath1252.53039arXiv1011.3987OpenAlexW1622341195MaRDI QIDQ2897247

Bernhard Hanke

Publication date: 10 July 2012

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

Full work available at URL: https://arxiv.org/abs/1011.3987

zbMATH Keywords

spin manifoldpositive scalar curvaturestrong Novikov conjecturelarge scale geometryenlargeabilityLichnerowicz formulaRosenberg indexinfinite K-area

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (8)

The relative Mishchenko-Fomenko higher index and almost flat bundles. II: Almost flat index pairing ⋮ Homology of finite K-area ⋮ Almost flat relative vector bundles and the almost monodromy correspondence ⋮ Geography of 4-manifolds with positive scalar curvature ⋮ Metric inequalities with scalar curvature ⋮ \(G\)-homotopy invariance of the analytic signature of proper co-compact \(G\)-manifolds and equivariant Novikov conjecture ⋮ Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras ⋮ Invariance of finiteness of K-area under surgery

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