Operads of genus zero curves and the Grothendieck-Teichmüller group

DOI10.2140/gt.2019.23.299zbMath1411.18015arXiv1703.05143OpenAlexW2992624853MaRDI QIDQ666710

Geoffroy Horel, Pedro Boavida de Brito, Marcy Robertson

Publication date: 12 March 2019

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.05143

zbMATH Keywords

absolute Galois groupmoduli space of curvesGrothendieck-Teichmüller groupinfinity operads

Mathematics Subject Classification ID

Related Items (10)

Little survey on I/OM and its variants and their relation to (variants of) \(\widehat{GT}\) -- old \& new ⋮ An infinity operad of normalized cacti ⋮ Toward a Galois theory of the integers over the sphere spectrum ⋮ Profinite completion of operads and the Grothendieck-Teichmüller group ⋮ Quantum statistical mechanics of the absolute Galois group ⋮ Profinite \(\infty\)-operads ⋮ Étale cohomology, purity and formality with torsion coefficients ⋮ Simplicial model structures on pro-categories ⋮ Homotopical algebra and higher structures. Abstracts from the workshop held September 19--25, 2021 (hybrid meeting) ⋮ A graphical category for higher modular operads

Cites Work

• Group actions on Segal operads
• Pro-categories in homotopy theory
• Function complexes in homotopical algebra
• Calculating simplicial localizations
• Genetics of homotopy theory and the Adams conjecture
• Batalin-Vilkovisky algebras and two-dimensional topological field theories
• Axiomatic homotopy theory for operads
• Infinite loop space structure(s) on the stable mapping class group.
• Higher genus surface operad detects infinite loop spaces
• Profinite completion of operads and the Grothendieck-Teichmüller group
• Dendroidal sets
• Minimal models, GT-action and formality of the little disk operad
• Profinite homotopy theory
• Moduli spaces and formal operads
• A model structure on the category of pro-simplicial sets
• Homotopically trivializing the circle in the framed little disks
• Fibrations and geometric realizations
• On the Teichmüller tower of mapping class groups
• Homotopy of Operads and Grothendieck–Teichmüller Groups
• Dendroidal Segal spaces and ∞-operads
• Higher Topos Theory (AM-170)
• Formality of the chain operad of framed little disks
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