Triviality of the higher formality theorem

DOI10.1090/proc/12670zbMath1328.18013arXiv1310.4605OpenAlexW2010298729MaRDI QIDQ3450062

Damien Calaque, Thomas Willwacher

Publication date: 2 November 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4605

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40)

Related Items

On higher structure on the operadic deformation complexes ${Def}(e_n\to \mathcal{P})$ ⋮ Enriched pre-Lie operads and freeness theorems ⋮ Homotopical rigidity of the pre-Lie operad ⋮ Poisson reduction as a coisotropic intersection ⋮ Derived algebraic geometry ⋮ On quantum obstruction spaces and higher codimension gauge theories ⋮ A direct computation of the cohomology of the braces operad ⋮ Braces and Poisson additivity ⋮ Derived coisotropic structures. I: Affine case ⋮ On the formality of the little disks operad in positive characteristic ⋮ Quantisation of derived Lagrangians

Cites Work

• A direct computation of the cohomology of the braces operad
• Associahedra, cyclohedra and a topological solution to the \(A_{\infty }\) Deligne conjecture
• Koszul duality for operads
• Homotopy invariant algebraic structures on topological spaces
• Deformation quantization of Poisson manifolds
• Operadic twisting -- with an application to Deligne's conjecture
• The cohomology structure of an associative ring
• Multivariable cochain operations and little 𝑛-cubes
• Algebraic Operads
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