Filling Radius, Quantitative K-theory and Positive Scalar Curvature

2023/11/26 by Jinmin Wang, Wang, Jinmin, Zhizhang Xie +5
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Operator Algebra Research #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.2311.15347

Abstract

We prove a quantitative upper bound on the filling radius of complete, spin manifolds with uniformly positive scalar curvature using the quantitative operator K-theory and index theory.

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