Width, largeness and index theory

DOI10.3842/SIGMA.2020.127zbMath1455.19005arXiv2008.13754MaRDI QIDQ2217988

Rudolf Zeidler

Publication date: 12 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.13754

zbMATH Keywords

Dirac operatorscalar curvatureindex theorycomparison geometryCallias-type operatorenlargeabilitylargeness properties

Mathematics Subject Classification ID

Exotic index theories on manifolds (58J22) Spin and Spin({}^c) geometry (53C27) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Index theory (19K56)

Related Items (9)

Macroscopic band width inequalities ⋮ Nonnegative scalar curvature on manifolds with at least two ends ⋮ A quantitative relative index theorem and Gromov's conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie) ⋮ Non-commutative geometry and cyclic homology. Abstracts from the workshop held July 31 -- August 6, 2022 ⋮ Scalar and mean curvature comparison via \(\mu\)-bubbles ⋮ Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension ⋮ Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting) ⋮ Width, largeness and index theory ⋮ Band width estimates via the Dirac operator

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