Torsion Obstructions to Positive Scalar Curvature

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Gromov, Misha, Hanke, Bernhard
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212351
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Torsion Obstructions to Positive Scalar Curvature. Misha Gromov and Bernhard Hanke. SIGMA 20 (2024), 069, 22 pages

We study obstructions to the existence of Riemannian metrics of positive scalar curvature on closed smooth manifolds arising from torsion classes in the integral homology of their fundamental groups. As an application, we construct new examples of manifolds that do not admit positive scalar curvatur...