Torus actions whose equivariant cohomology is Cohen-Macaulay

DOI10.1112/jtopol/jtq025zbMath1208.55005arXiv0912.0637OpenAlexW1978094058MaRDI QIDQ3066411

Dirk Töben, Oliver Goertsches

Publication date: 10 January 2011

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0637

zbMATH Keywords

torus actionCohen-Macaulayequivariant formalityopen-face-acyclic

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Compact Lie groups of differentiable transformations (57S15) Equivariant homology and cohomology in algebraic topology (55N91) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (11)

Equivariant basic cohomology of Riemannian foliations ⋮ On the non-existence of torus actions ⋮ Equivariant cohomology, syzygies and orbit structure ⋮ Basic Kirwan surjectivity for K-contact manifolds ⋮ Torsion in equivariant cohomology and Cohen-Macaulay \(G\)-actions ⋮ A quotient criterion for syzygies in equivariant cohomology ⋮ Equivariant cohomology of cohomogeneity one actions ⋮ Equivariant cohomology of \(K\)-contact manifolds ⋮ Equivariant de Rham cohomology: theory and applications ⋮ On the equivariant cohomology of hyperpolar actions on symmetric spaces ⋮ Reconstructing the orbit type stratification of a torus action from its equivariant cohomology

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