Unbounded Pontryagin numbers on nonnegatively curved spin manifolds

DOI10.1112/blms.12695arXiv2111.07862OpenAlexW3211585429MaRDI QIDQ6074919

Unnamed Author, Dieter Kotschick

Publication date: 20 September 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.07862

zbMATH Keywords

spin manifoldsnonnegative curvaturePontryagin numbersspin bordism ring

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) (mathrm{O})- and (mathrm{SO})-cobordism (57R75)

Cites Work

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• Sur les genres multiplicatifs définis par des intégrales elliptiques. (On multiplicative genera defined by elliptic integrals)
• Obstructions to positive curvature and symmetry
• Curvature, diameter and Betti numbers
• Dualization invariance and a new complex elliptic genus
• Quelques propriétés globales des variétés différentiables
• Pontryagin numbers and nonnegative curvature
• Non-Negative Curvature, Elliptic Genus and Unbounded Pontryagin Numbers

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