Equivalence of formalities of the little discs operad

DOI10.1215/00127094-1443502zbMath1241.18008arXiv0905.1789OpenAlexW2072876843MaRDI QIDQ649742

Thomas Willwacher, Pavol Ševera

Publication date: 6 December 2011

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1789

zbMATH Keywords

deformation quantizationoperad

Mathematics Subject Classification ID

Deformation quantization, star products (53D55)

Related Items

Internally connected graphs and the Kashiwara-Vergne Lie algebra, On the coefficients of the Alekseev-Torossian associator, Filtrations on graph complexes and the Grothendieck-Teichmüller Lie algebra in depth two, Differentials on graph complexes. II: Hairy graphs, Swiss-Cheese operad and Drinfeld center, On rational Drinfeld associators, Quadratic algebras arising from Hopf operads generated by a single element, Stable cohomology of graph complexes, Monoidal structures on the categories of quadratic data, Unnamed Item, Galois Action on Knots II: Proalgebraic String Links and Knots, A direct computation of the cohomology of the braces operad, The Grothendieck-Teichmüller group action on differential forms and formality morphisms of chains, Formality theorem for gerbes, Logarithms and deformation quantization, The homotopy braces formality morphism, Formality of the little N-disks operad, Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots, On triviality of the Kashiwara-Vergne problem for quadratic Lie algebras, Cyclic operad formality for compactified moduli spaces of genus zero surfaces, M. Kontsevich's graph complex and the Grothendieck-Teichmüller Lie algebra

Cites Work

• Unnamed Item
• Unnamed Item
• The Kashiwara-Vergne conjecture and Drinfeld's associators
• Kontsevich deformation quantization and flat connections
• Operads and motives in deformation quantization
• Formality of chain operad of little discs
• Deformation quantization of Poisson manifolds