Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity

DOI10.1093/imrn/rnx064zbMath1418.57021arXiv1404.3903OpenAlexW2274903374MaRDI QIDQ4619447

Marco Radeschi, Michael Wiemeler, Fernando Galaz-García, Martin Kerin

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.3903

zbMATH Keywords

torus actionnon-negative curvaturerational ellipticitytorus orbifold

Mathematics Subject Classification ID

Topology and geometry of orbifolds (57R18)

Related Items (14)

Equivariant cohomology of torus orbifolds ⋮ Equivariant basic cohomology under deformations ⋮ Torus actions on Alexandrov 4-spaces ⋮ Classification of rationally elliptic toric orbifolds ⋮ Manifolds that admit a double disk-bundle decomposition ⋮ Halperin’s conjecture in formal dimensions up to 20 ⋮ The toral rank conjecture and variants of equivariant formality ⋮ Torus actions on rationally elliptic manifolds ⋮ Rationally elliptic toric varieties ⋮ Classification and characterization of rationally elliptic manifolds in low dimensions ⋮ Odd-dimensional orbifolds with all geodesics closed are covered by manifolds ⋮ Torus actions, maximality, and non-negative curvature ⋮ Non-negatively curved GKM orbifolds ⋮ Positively curved Killing foliations via deformations

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