Bordism and projective space bundles
- We prove that total spaces of CP^2-bundles generate the oriented cobordism ring Omega*. Combined with the surgery lemma [8, 22], this yields a somewhat different proof of Gromov’s and Lawson’s theorem [8] that all simply connected non-spin manifolds of dimension at least 5 admit metrics of positive scalar curvature.
| Author: | Sven Führing |
|---|---|
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/104072 |
| Parent Title (English): | Münster Journal of Mathematics |
| Publisher: | Mathematisches Institut, Universität Münster |
| Place of publication: | Münster |
| Type: | Article |
| Language: | English |
| Date of Publication (online): | 2023/04/27 |
| Year of first Publication: | 2022 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2023/05/02 |
| Volume: | 15 |
| First Page: | 355 |
| Last Page: | 388 |
| DOI: | https://doi.org/10.17879/21089690084 |
| 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 |
