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arXiv · 1402.2397

Positively curved GKM-manifolds

Oliver Goertsches·Michael Wiemeler
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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.

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Oliver Goertsches, Michael Wiemeler. 2015-01-29. Positively curved GKM-manifolds. https://doi.org/10.1093/imrn%2Frnv046

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