Torsion Obstructions to Positive Scalar Curvature

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...

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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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine