Homotopy BV-algebra structure on the double cobar construction

DOI10.1016/j.jpaa.2015.10.010zbMath1346.55012arXiv1305.3150OpenAlexW2119925857MaRDI QIDQ899570

Alexandre Quesney

Publication date: 30 December 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3150

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Loop space machines and operads in algebraic topology (55P48) Hopf algebras and their applications (16T05)

Related Items (2)

The normalized cochain complex of a nonsymmetric cyclic operad with multiplication is a Quesney homotopy BV algebra ⋮ Singular chains and the fundamental group

Cites Work

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• A chain coalgebra model for the James map
• Iterated loop spaces
• On the cobar construction of a bialgebra
• Combinatorial Hopf algebras
• ON THE COBAR CONSTRUCTION
• Hopf Algebras up to Homotopy
• Multivariable cochain operations and little 𝑛-cubes
• Combinatorial operad actions on cochains
• Algebraic Operads

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