A finitely presented ${E}_{\infty}$-prop I: algebraic context

zbMath1459.55010arXiv1808.00854MaRDI QIDQ5149948

Anibal M. Medina-Mardones

Publication date: 9 February 2021

Full work available at URL: https://arxiv.org/abs/1808.00854

zbMATH Keywords

operadsprops\(E_\infty\)-structuresnormalized chains

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Theories (e.g., algebraic theories), structure, and semantics (18C10) Loop space machines and operads in algebraic topology (55P48) Operads (general) (18M60)

Related Items (6)

Cochain level May-Steenrod operations ⋮ A computer algebra system for the study of commutativity up to coherent homotopies ⋮ A finitely presented ${E}_{\infty}$-prop II: cellular context ⋮ A cochain level proof of Adem relations in the mod 2 Steenrod algebra ⋮ New formulas for cup-\(i\) products and fast computation of Steenrod squares ⋮ Persistence Steenrod modules

Cites Work

• Unnamed Item
• The symmetric join operad
• On spineless cacti, Deligne's conjecture and Connes-Kreimer's Hopf algebra
• Moduli space actions on the Hochschild co-chains of a Frobenius algebra. II: Correlators
• Loop products and closed geodesics
• Arc operads and arc algebras
• An algebraic representation of globular sets
• Operads and PROPs
• Dimension vs. genus: A surface realization of the little k-cubes and an E_∞operad
• Multivariable cochain operations and little 𝑛-cubes
• Combinatorial operad actions on cochains
• Algebraic Operads

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