Bar constructions and Quillen homology of modules over operads

2008/02/29 by John E. Harper
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Functor #Homology (biology) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Mathematics #Model category #Pure mathematics #Simplicial set #Sphingolipid Metabolism and Signaling #math.AT #msc:18G55 #msc:55P43 #msc:55P48 #msc:55U35

paper · pdf · doi:10.2140/agt.2010.10.87

published as Algebr. Geom. Topol. 10 (2010) 87-136 · 38 pages, uses xy-pic, minor revision

arxiv created 2009/09/27 · openalex publication_date 2010/01/10 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Bar constructions and Quillen homology of modules over operads

Citations

• Homotopy Theories and Model Categories
• Koszul duality of operads and homology of partition posets
• Operads, homotopy algebra and iterated integrals for double loop spaces
• Homology and cohomology of E? ring spectra
• Homotopy theory of modules over operads in symmetric spectra
• André–Quillen cohomology of commutative S-algebras
• The Geometry of Iterated Loop Spaces
• Graduate Texts in Mathematics
• Homotopical Algebra
• Simplicial Homotopy Theory