An Atiyah-Hirzebruch spectral sequence for topological André-Quillen homology

DOI10.1016/S0022-4049(01)00117-7zbMath1070.55003OpenAlexW2064164824MaRDI QIDQ1612111

Birgit Richter

Publication date: 22 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(01)00117-7

zbMATH Keywords

André-Quillen homologyGamma homologyAityah-Hirzebruch spectral sequence

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Spectral sequences in algebraic topology (55T99) Stable homotopy groups (55Q10)

Related Items (4)

Homotopy completion and topological Quillen homology of structured ring spectra ⋮ Existence and uniqueness of \(E_\infty\) structures on motivic \(K\)-theory spectra ⋮ Completed power operations for Morava \(E\)-theory ⋮ Deriving calculus with cotriples

Cites Work

• Quasifaserungen und unendliche symmetrische Produkte
• Homologie nicht-additiver Funktoren. Anwendungen
• Stable homotopy of algebraic theories
• André-Quillen cohomology of commutative \(S\)-algebras
• Robinson-Whitehouse complex and stable homotopy
• Cohomology operations, and obstructions to extending continuous functions
• Stable derived functors, the Steenrod algebra and homological algebra in the category of functors
• Hodge decomposition for higher order Hochschild homology
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