The Gromov–Lawson Index and the Baum–Connes Assembly Map

DOI10.1142/9789811273230_0023zbMATH Open1530.53055arXiv2103.03495OpenAlexW3135169515MaRDI QIDQ6178097

Moulay-Tahar Benameur

Publication date: 1 September 2023

Published in: Perspectives in Scalar Curvature (Search for Journal in Brave)

Abstract: This is a survey paper which gathers some results related with the study of Positive Scalar Curvature metrics in connection with the Baum-Connes assembly map.

Full work available at URL: https://arxiv.org/abs/2103.03495

zbMATH Keywords

positive scalar curvatureindex theoryBaum-Connes conjecture

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Index theory and related fixed-point theorems on manifolds (58J20) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Issues of holonomy in differential geometry (53C29) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (1)

The Baum-Connes assembly map, delocalization and the Chern character

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