Borel cohomology and the relative Gorenstein condition for classifying spaces of compact Lie groups

DOI10.1016/J.JPAA.2019.06.011zbMath1422.55013arXiv1808.07342OpenAlexW2950899458WikidataQ115345357 ScholiaQ115345357MaRDI QIDQ2318416

John P. C. Greenlees

Publication date: 15 August 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07342

zbMATH Keywords

group cohomologyEilenberg-Moore spectral sequencecompact Lie groupBorel cohomologyrelatively Gorenstein

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Cohomology of groups (20J06) Equivariant homology and cohomology in algebraic topology (55N91) Universal coefficient theorems, Bockstein operator (55U20) Eilenberg-Moore spectral sequences (55T20) Homology of a product, Künneth formula (55U25)

Related Items (5)

Algebraic models of change of groups functors in (co)free rational equivariant spectra ⋮ The left localization principle, completions, and cofree \(G\)-spectra ⋮ Local Gorenstein duality in chromatic group cohomology ⋮ Local Gorenstein duality for cochains on spaces ⋮ Morita theory and singularity categories

Cites Work

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• Stratifying the derived category of cochains on \(BG\) for \(G\) a compact Lie group
• Algebras over equivariant sphere spectra
• Duality in algebra and topology
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Strong convergence of the Eilenberg-Moore spectral sequence
• Commutative algebra for cohomology rings of classifying spaces of compact Lie groups
• Morita theory and singularity categories
• Equivariant orthogonal spectra and 𝑆-modules

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