Positively curved GKM-manifolds
Differential Geometry
2021-07-26 v2 Algebraic Topology
Abstract
Let T be a torus of dimension at least k and M a T-manifold. M is a GKM_k-manifold if the action is equivariantly formal, has only isolated fixed points, and any k weights of the isotropy representation in the fixed points are linearly independent. In this paper we compute the cohomology rings with real and integer coefficients of GKM_3- and GKM_4-manifolds which admit invariant metrics of positive sectional curvature.
Cite
@article{arxiv.1402.2397,
title = {Positively curved GKM-manifolds},
author = {Oliver Goertsches and Michael Wiemeler},
journal= {arXiv preprint arXiv:1402.2397},
year = {2021}
}
Comments
19 pages, 7 figures. Final version, to appear in IMRN