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Equivariant formality of isotropy actions

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Publication:4572056
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DOI10.1112/jlms.12116zbMath1401.55007arXiv1511.06228OpenAlexW3124888134MaRDI QIDQ4572056

Chi-Kwong Fok, Jeffrey D. Carlson

Publication date: 4 July 2018

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06228


zbMATH Keywords

homogeneous spacesequivariant formality


Mathematics Subject Classification ID

Rational homotopy theory (55P62) Equivariant homology and cohomology in algebraic topology (55N91) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Equivariant (K)-theory (19L47)


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Equivariant formality of isotropic torus actions ⋮ Vector bundles of non-negative curvature over cohomogeneity one manifolds ⋮ Bounds on sectional curvature and interactions with topology ⋮ Equivariant formality of corank-one isotropy actions and products of rational spheres ⋮ Equivariant de Rham cohomology: theory and applications ⋮ On the equivariant cohomology of hyperpolar actions on symmetric spaces ⋮ Grassmannians and the equivariant cohomology of isotropy actions



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