Filling radius, quantitative K-theory and positive scalar curvature

Geometry & Topology 2026 Open access

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Authors: Jinmin Wang, Zhizhang Xie, Guoliang Yu, Bo Lin Zhu
DOI: 10.2140/gt.2026.30.2961
Cited by: 0
References: 41

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.1. Introduction 2961 2. A basic introduction to filling radius 2963 3. Lipschitz properties of spaces with finite asymptotic dimension 2969 4. Proof of the main theorem 2976 Appendix.Metric invariants of Riemannian manifolds 2984

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Advanced Operator Algebra Research Black Holes and Theoretical Physics

Publication details

Journal / source
Geometry & Topology
Publisher
Mathematical Sciences Publishers
Volume
30
Issue
8
Pages
2961–2992
Publication date
30 August 2026
Language
EN