Index theory for scalar curvature on manifolds with boundary

DOI10.1090/proc/15551zbMath1477.53067arXiv2009.07256OpenAlexW3135360591MaRDI QIDQ5012123

John Lott

Publication date: 31 August 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.07256

zbMATH Keywords

nonnegative curvature operator

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (7)

On scalar curvature lower bounds and scalar curvature measure ⋮ Rigidity of 3D spherical caps via \(\mu \)-bubbles ⋮ A quantitative relative index theorem and Gromov's conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie) ⋮ Geometry. Abstracts from the workshop held June 12--18, 2022 ⋮ Extremality and rigidity for scalar curvature in dimension four ⋮ A spinorial quasilocal mass ⋮ Scalar curvature rigidity of convex polytopes

Cites Work

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• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• On the index of geometrical operators for Riemannian manifolds with boundary
• Sharp estimates and the Dirac operator
• Scalar curvature estimates for compact symmetric spaces.
• Scalar curvature estimates for \((n+ 4k)\)-dimensional spin manifolds
• Reflection positivity and invertible topological phases
• A spinorial approach to Riemannian and conformal geometry
• The index of elliptic operators over V-manifolds
• Spectral asymmetry and Riemannian Geometry. I
• \(\widehat A\)-genus and collapsing.

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