Bordism und projective space bundles
Geometric Topology
2020-06-30 v1
Abstract
We prove that total spaces of -bundles generate the oriented cobordism ring . Combined with the surgery lemma this yields a somewhat different proof of Gromov's and Lawson's theorem that all simply connected non-spin manifolds of dimension 5 carry a metric of positive scalar curvature.
Cite
@article{arxiv.2006.15394,
title = {Bordism und projective space bundles},
author = {Sven Führing},
journal= {arXiv preprint arXiv:2006.15394},
year = {2020}
}