Homotopy theory of modules over operads and non-Sigma operads in monoidal model categories

2007/12/31 by John E. Harper, Harper, John E.
Mathematics · #18G55 #55U35 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:18G55 #msc:55U35

paper · pdf · doi:10.48550/arxiv.0801.0191

38 pages, uses xy-pic

openalex publication_date 2007/12/31 · arxiv created 2009/06/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper studies the existence of model category structures on algebras and modules over operads in monoidal model categories.

Citations

• Koszul duality for operads

Related

• Operads, Algebras and Modules in General Model Categories
• Model structures on operads and algebras from a global perspective
• Monoidal model categories
• Dwyer-Kan Homotopy Theory of Algebras over Operadic Collections
• Homological algebra of homotopy algebras