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Odd-dimensional GKM-manifolds of non-negative curvature

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Escher,  Christine Maria
Max Planck Institute for Mathematics, Max Planck Society;

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Searle,  Catherine Elizabeth
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Escher, C. M., Goertsches, O., & Searle, C. E. (2023). Odd-dimensional GKM-manifolds of non-negative curvature. International Mathematics Research Notices, 2023(1), 744-784. doi:10.1093/imrn/rnab137.


Cite as: https://hdl.handle.net/21.11116/0000-000C-3AEA-C
Abstract
We prove for closed, odd-dimensional GKM$_3$ manifolds of non-negative
sectional curvature that both the equivariant and the ordinary rational
cohomology split off the cohomology of an odd-dimensional sphere.