A prismatic decomposition of the Barratt-Eccles operad

DOI10.1016/S1631-073X(02)02489-5zbMath1016.18005arXivmath/0204326OpenAlexW2156475765MaRDI QIDQ700310

Benoit Fresse, Clemens Berger

Publication date: 5 August 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204326

zbMATH Keywords

symmetric groupsoperadsDeligne conjectureBarratt-Eccles operadsimplicial operad

Mathematics Subject Classification ID

Loop space machines and operads in algebraic topology (55P48)

Related Items (6)

The odd origin of Gerstenhaber brackets, Batalin-Vilkovisky operators, and master equations ⋮ La construction bar d'une algèbre comme algèbre de Hopf E-infini. (The bar construction of an algebra as an E-infinite Hopf algebra). ⋮ Moduli space actions on the Hochschild co-chains of a Frobenius algebra. II: Correlators ⋮ Moduli space actions on the Hochschild co-chains of a Frobenius algebra. I: Cell operads ⋮ Associahedra, cyclohedra and a topological solution to the \(A_{\infty }\) Deligne conjecture ⋮ A cochain level proof of Adem relations in the mod 2 Steenrod algebra

Cites Work

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• Opérades cellulaires et espaces de lacets itérés. (Cellular operads and iterated loop spaces.)
• Multivariable cochain operations and little 𝑛-cubes
• Combinatorial operad actions on cochains

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