Odd-Dimensional GKM-Manifolds of Non-Negative Curvature

نویسندگان

چکیده

Abstract Let $M$ be a closed, odd GKM$_3$ manifold of non-negative sectional curvature. We show that in this situation one can associate an ordinary abstract graph to and prove if is orientable, then both the equivariant rational cohomology split off odd-dimensional sphere.

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2021

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnab137