Homotopical rigidity of the pre-Lie operad

DOI10.1090/proc/15627arXiv2002.12918MaRDI QIDQ6203171

Vladimir Dotsenko, A. S. Khoroshkin

Publication date: 27 February 2024

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

Full work available at URL: https://arxiv.org/abs/2002.12918

zbMATH Keywords

rigidityPre-Lie operaddeformation complex of an operad morphismtwisting of an operad

Mathematics Subject Classification ID

Deformations of associative rings (16S80) Homotopical algebra, Quillen model categories, derivators (18N40) Algebraic operads, cooperads, and Koszul duality (18M70) Graph complexes and graph homology (18G85)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Crossed interval groups and operations on the Hochschild cohomology
• The Hopf algebras of decorated rooted trees. II
• Une théorie combinatoire des séries formelles
• Cotangent cohomology of a category of deformations
• Higher operations on the Hochschild complex
• Enriched pre-Lie operads and freeness theorems
• Operadic twisting -- with an application to Deligne's conjecture
• A version of the Goldman-Millson theorem for filtered \(L_\infty\)-algebras
• M. Kontsevich's graph complex and the Grothendieck-Teichmüller Lie algebra
• Formality of the little N-disks operad
• Deformation theory of representations of prop(erad)s II
• Triviality of the higher formality theorem
• Cohomology operations and the deligne conjecture
• Models for operads
• Pre-Lie Pairs and Triviality of the Lie Bracket on the Twisted Hairy Graph Complexes
• Algebraic Operads
• A Cartier-Milnor-Moore-Quillen theorem for the dendriform bigebras and the brace algebras
• Rational homotopy theory of mapping spaces via Lie theory for \(L_\infty\)-algebras

This page was built for publication: Homotopical rigidity of the pre-Lie operad