DG-algebras and derived A ∞-algebras

DOI10.1515/CRELLE.2010.011zbMath1209.18011arXiv0711.4499OpenAlexW1610218667MaRDI QIDQ5306045

Steffen Sagave

Publication date: 26 March 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4499

zbMATH Keywords

\(A_{\infty}\)-algebraminimal modelDG-algebraderived \(A_{\infty}\)-algebra

Mathematics Subject Classification ID

Related Items (11)

Spectral sequences associated to deformations ⋮ Uniqueness of \(A_\infty\)-structures and Hochschild cohomology. ⋮ Derived \(A_\infty\)-algebras in an operadic context ⋮ Massey products for algebras over operads ⋮ Derived homotopy algebras ⋮ Derived localisation of algebras and modules ⋮ Homotopy theory of bicomplexes ⋮ Derived \(A\)-infinity algebras and their homotopies ⋮ $L_\infty$ and $A_\infty$ structures: then and now ⋮ A higher homotopic extension of persistent (co)homology ⋮ Cup product on \(A_\infty\)-cohomology and deformations

Cites Work

• Topological equivalences for differential graded algebras
• Cosimplicial resolutions and homotopy spectral sequences in model categories
• Equivalences of monoidal model categories
• Stable model categories are categories of modules
• Complete modules and torsion modules
• Algebras and Modules in Monoidal Model Categories
• Realizability of modules over Tate cohomology
• Universal Toda brackets of ring spectra
• Homotopy Associativity of H-Spaces. I

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