On the formality of the little disks operad in positive characteristic

DOI10.1112/jlms.12442zbMath1480.18019arXiv1903.09191OpenAlexW2925215838MaRDI QIDQ5859973

Pedro Boavida de Brito, Geoffroy Horel

Publication date: 18 November 2021

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

Full work available at URL: https://arxiv.org/abs/1903.09191

zbMATH Keywords

formalityGrothendieck-Teichmüller groupBoardman-Vogt tensor product\(\infty\)-Hopf cooperaddg-operadlittle disks operad \(E_n\)

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Algebraic operads, cooperads, and Koszul duality (18M70)

Related Items

Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting) ⋮ Étale cohomology, purity and formality with torsion coefficients ⋮ Galois symmetries of knot spaces ⋮ Homotopy transfer and formality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rectification of algebras and modules
• Pro-categories in homotopy theory
• The rational homology of spaces of long knots in codimension \(> 2\)
• On left and right model categories and left and right Bousfield localizations
• The intrinsic formality of \(E_n\)-operads
• The lower central series of a fiber-type arrangement
• Genetics of homotopy theory and the Adams conjecture
• Operads and motives in deformation quantization
• Formality of chain operad of little discs
• Profinite completion of operads and the Grothendieck-Teichmüller group
• Completions of pro-spaces
• Duality and Pro-Spectra
• On rational \(K[\pi,1\) spaces and Koszul algebras]
• Enriched \(\infty \)-operads
• Dendroidal sets
• On the rational homology of high-dimensional analogues of spaces of long knots
• Minimal models, GT-action and formality of the little disk operad
• Etale homotopy
• Rational homotopy theory
• Homotopy limits, completions and localizations
• Moduli spaces and formal operads
• Formality of the little N-disks operad
• The configuration category of a product
• Non-Formality of Planar Configuration Spaces in Characteristic 2
• Galois symmetries of knot spaces
• Triviality of the higher formality theorem
• Relative (non-)formality of the little cubes operads and the algebraic Cerf lemma
• Spaces of smooth embeddings and configuration categories
• Ensembles profinis simpliciaux et interprétation géométrique du foncteur $T$
• Tamarkins proof of Kontsevich formality theorem
• Mixed Hodge structures and formality of symmetric monoidal functors
• Planar non-formality of the little discs operad in characteristic two
• Homotopy of Operads and Grothendieck–Teichmüller Groups
• Dendroidal Segal spaces and ∞-operads
• Higher Topos Theory (AM-170)