Higher homotopy operations and André-Quillen cohomology

DOI10.1016/j.aim.2012.02.009zbMath1246.55013arXiv1107.4117OpenAlexW1982899924MaRDI QIDQ424573

David Blanc, Mark W. Johnson, James M. Turner

Publication date: 1 June 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4117

zbMATH Keywords

obstruction theoryAndré-Quillen cohomology\(k\)-invariantshigher homotopy operationshomotopy-commutative diagram

Mathematics Subject Classification ID

Related Items (9)

Higher homotopy invariants for spaces and maps ⋮ The realizability of operations on homotopy groups concentrated in two degrees ⋮ Homotopy pro-nilpotent structured ring spectra and topological Quillen localization ⋮ Note on Toda brackets ⋮ Higher order Toda brackets ⋮ Higher Toda brackets and Massey products ⋮ Higher cohomology operations and \(R\)-completion ⋮ A constructive approach to higher homotopy operations ⋮ Spectral sequences in \((\infty,1)\)-categories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Comparing cohomology obstructions
• Stems and spectral sequences
• Homology of symmetric products and other functors of complexes
• On the non-existence of elements of Hopf invariant one
• The cohomology algebra of a space
• Secondary operations on mappings and cohomology
• Homotopie rationelle: modèles de Chen, Quillen, Sullivan
• The algebra of secondary cohomology operations
• Generalized André-Quillen cohomology
• On realizing diagrams of \(\Pi\)-algebras
• A van Kampen spectral sequence for higher homotopy groups
• Homotopy commutative diagrams and their realizations
• Simplicial localizations of categories
• An \(E^ 2\) model category structure for pointed simplicial spaces
• Higher homotopy operations
• Cosimplicial resolutions and homotopy spectral sequences in model categories
• On topologically realizing modules over the Steenrod algebra
• Homotopy invariant algebraic structures on topological spaces
• The realization space of a \(\Pi\)-algebra: a moduli problem in algebraic topology
• The bigraded homotopy groups \(\pi_{i,j} X\) of a pointed simplicial space \(X\)
• CW simplicial resolutions of spaces with an application to loop spaces
• Méthode simpliciale en algèbre homologique et algèbre commutative
• Homotopical algebra
• Rational homotopy theory
• Stable secondary cohomology operations
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Comparing homotopy categories
• Higher homotopy operations and cohomology
• Convex Polytopes
• Higher Homotopy Operations and The Realizability of Homotopy Groups
• Algebraic invariants for homotopy types
• On the Homotopy Groups of the Union of Spheres

This page was built for publication: Higher homotopy operations and André-Quillen cohomology