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 which do not admit positive scalar curvature metrics, but whose Cartesian products admit such metrics.
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| Author: | Misha Gromov, Bernhard HankeORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1147865 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/114786 |
| ISSN: | 1815-0659OPAC |
| Parent Title (English): | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
| Publisher: | SIGMA |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2024 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2024/08/26 |
| Volume: | 20 |
| First Page: | 069 |
| DOI: | https://doi.org/10.3842/sigma.2024.069 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Differentialgeometrie | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY-SA 4.0: Creative Commons: Namensnennung - Weitergabe unter gleichen Bedingungen (mit Print on Demand) |
