Odd-dimensional GKM-manifolds of non-negative curvature
Differential Geometry
2020-12-10 v2 Algebraic Topology
Abstract
We prove for closed, odd-dimensional GKM manifolds of non-negative sectional curvature that both the equivariant and the ordinary rational cohomology split off the cohomology of an odd-dimensional sphere.
Keywords
Cite
@article{arxiv.1912.02466,
title = {Odd-dimensional GKM-manifolds of non-negative curvature},
author = {Christine Escher and Oliver Goertsches and Catherine Searle},
journal= {arXiv preprint arXiv:1912.02466},
year = {2020}
}
Comments
25 pages. v2: added orientability assumption