The Gromov-Lawson index and the Baum-Connes assembly map
Moulay-Tahar Benameur
TL;DR
This survey explores the relationship between the Gromov-Lawson index and the Baum-Connes assembly map, highlighting their roles in understanding positive scalar curvature metrics on manifolds.
Contribution
It consolidates existing results connecting positive scalar curvature, the Gromov-Lawson index, and the Baum-Connes conjecture, providing a comprehensive overview.
Findings
Connections between positive scalar curvature and the Baum-Connes assembly map
Summary of key results relating index theory and geometric topology
Insights into the role of the Gromov-Lawson index in geometric analysis
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.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Homotopy and Cohomology in Algebraic Topology