Bonn Topology Group - Abstracts

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Talk

January 27, 2026
Bernhard Hanke (Universität Augsburg): Torsion obstructions to postive scalar curvature

Abstract

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 which do not admit positive scalar curvature metrics, but whose Cartesian products admit such metrics.

This talk is based on joint work with Misha Gromov.

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