Homotopy theory of modules over operads in symmetric spectra

DOI10.2140/agt.2009.9.1637zbMath1235.55004arXiv0801.0193OpenAlexW3105841416MaRDI QIDQ731419

John E. Harper

Publication date: 6 October 2009

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.0193

zbMATH Keywords

operadsmodel categorysymmetric spectra

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Loop space machines and operads in algebraic topology (55P48)

Related Items (16)

Higher homotopy excision and Blakers-Massey theorems for structured ring spectra ⋮ The plus-construction, Bousfield localization, and derived completion ⋮ An algebraic model for commutative \(H\mathbb{Z}\)-algebras ⋮ Preorientations of the derived motivic multiplicative group ⋮ Genuine equivariant operads ⋮ On the chromatic localization of the homotopy completion tower for \(\mathcal{O}\)-algebras ⋮ Operads in unstable global homotopy theory ⋮ Homotopy completion and topological Quillen homology of structured ring spectra ⋮ Bousfield localization and algebras over colored operads ⋮ Model structures on commutative monoids in general model categories ⋮ Homotopy theory of modules over operads and non-\(\varSigma \) operads in monoidal model categories ⋮ A nilpotent Whitehead theorem for \(\mathsf{TQ} \)-homology of structured ring spectra ⋮ Homotopical adjoint lifting theorem ⋮ SYMMETRIC OPERADS IN ABSTRACT SYMMETRIC SPECTRA ⋮ Bar constructions and Quillen homology of modules over operads ⋮ Corrigendum to ``Homotopy theory of modules over operads in symmetric spectra

Cites Work

• Modules in monoidal model categories
• Lie theory of formal groups over an operad.
• Koszul duality for operads
• Axiomatic homotopy theory for operads
• \(E_{\infty}\) algebras and \(p\)-adic homotopy theory
• Homology and cohomology of \(E_\infty\) ring spectra
• Homotopy theory of modules over operads and non-\(\varSigma \) operads in monoidal model categories
• Rings, modules, and algebras in infinite loop space theory
• Modules over operads and functors
• Homotopical algebra
• Rational homotopy theory
• The geometry of iterated loop spaces
• Modules and Morita theorem for operads
• Model Categories of Diagram Spectra
• Homotopy theory of diagrams
• Homological algebra of homotopy algebras
• Algebras and Modules in Monoidal Model Categories
• Symmetric spectra
• Simplicial homotopy theory
• S-modules and symmetric spectra
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