Torsion in equivariant cohomology and Cohen-Macaulay \(G\)-actions

DOI10.1007/s00031-011-9154-5zbMath1254.55003arXiv1009.0120OpenAlexW2963482546MaRDI QIDQ413939

Sönke Rollenske, Oliver Goertsches

Publication date: 8 May 2012

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0120

zbMATH Keywords

torsion module\(G\)-actionsequivariant formalityequivariant injectivityhighest rank stratumisotropy rank

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Compact Lie groups of differentiable transformations (57S15) Equivariant homology and cohomology in algebraic topology (55N91) Cohen-Macaulay modules (13C14) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (10)

Mutants of compactified representations revisited ⋮ Bounds on sectional curvature and interactions with topology ⋮ A quotient criterion for syzygies in equivariant cohomology ⋮ Syzygies in Equivariant Cohomology for Non-abelian Lie Groups ⋮ The toral rank conjecture and variants of equivariant formality ⋮ Equivariant cohomology of cohomogeneity one actions ⋮ Equivariant cohomology of cohomogeneity-one actions: the topological case ⋮ Non-abelian GKM theory ⋮ Equivariant de Rham cohomology: theory and applications ⋮ On the equivariant cohomology of hyperpolar actions on symmetric spaces

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