Boardman-Vogt resolutions and bar/cobar constructions of (co)operadic (co)bimodules

zbMath1483.18024arXiv1911.09474MaRDI QIDQ5037512

Julien Ducoulombier, Ricardo Campos, Najib Idrissi

Publication date: 1 March 2022

Full work available at URL: https://arxiv.org/abs/1911.09474

zbMATH Keywords

bar constructionoperadshomotopy theorymodel categorybimodules over operadscofibrant and fibrant resolutions

Mathematics Subject Classification ID

Homotopical algebra, Quillen model categories, derivators (18N40) Algebraic operads, cooperads, and Koszul duality (18M70) Topological and simplicial operads (18M75)

Cites Work

• Unnamed Item
• Unnamed Item
• The intrinsic formality of \(E_n\)-operads
• Operadic categories and duoidal Deligne's conjecture
• Embeddings from the point of view of immersion theory. II
• Axiomatic homotopy theory for operads
• The homotopy theory of operad subcategories
• Homotopy invariant algebraic structures on topological spaces
• Delooping derived mapping spaces of bimodules over an operad
• Bar constructions for topological operads and the {G}oodwillie derivatives of the identity
• The Boardman-Vogt resolution of operads in monoidal model categories
• On the rational homology of high-dimensional analogues of spaces of long knots
• The geometry of iterated loop spaces
• Operads and chain rules for the calculus of functors
• Koszul Duality of the Category of Trees and Bar Constructions for Operads
• Bar-cobar duality for operads in stable homotopy theory
• From maps between coloured operads to Swiss-Cheese algebras
• Spaces of smooth embeddings and configuration categories
• Homotopy of Operads and Grothendieck–Teichmüller Groups
• Homotopy of Operads and Grothendieck–Teichmüller Groups
• Homotopy-everything 𝐻-spaces
• Algebraic Operads

This page was built for publication: Boardman-Vogt resolutions and bar/cobar constructions of (co)operadic (co)bimodules