A graphical category for higher modular operads

DOI10.1016/j.aim.2020.107044zbMath1437.18015arXiv1906.01143OpenAlexW3005668180MaRDI QIDQ2308300

Marcy Robertson, Philip Hackney, Donald Y. Yau

Publication date: 2 April 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.01143

zbMATH Keywords

Quillen model categorymodular operadReedy categorySegal condition

Mathematics Subject Classification ID

Loop space machines and operads in algebraic topology (55P48) Polycategories/dioperads, properads, PROPs, cyclic operads, modular operads (18M85)

Related Items (10)

Moment categories and operads ⋮ Modular operads and the nerve theorem ⋮ Categories of graphs for operadic structures ⋮ On rectification and enrichment of infinity properads ⋮ Corrigendum to: ``Graphical combinatorics and a distributive law for modular operads [Adv. Math. 392 (2021) 108011] ⋮ Unnamed Item ⋮ Twisted arrow categories, operads and Segal conditions ⋮ Graphical combinatorics and a distributive law for modular operads ⋮ Homotopy-coherent algebra via Segal conditions ⋮ Dwyer–Kan homotopy theory for cyclic operads

Cites Work

• Unnamed Item
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• Graphs, hypergraphs, and properads
• Group actions on Segal operads
• From homotopy operads to infinity-operads
• On left and right model categories and left and right Bousfield localizations
• On an extension of the notion of Reedy category
• Operads of genus zero curves and the Grothendieck-Teichmüller group
• Cyclic operads and algebra of chord diagrams
• On factorizations of graphical maps
• Function complexes in homotopical algebra
• The geometry of tensor calculus. I
• Higher genus surface operad detects infinite loop spaces
• Brane actions, categorifications of Gromov-Witten theory and quantum \(K\)-theory
• Higher cyclic operads
• Modular operads and the nerve theorem
• Infinity properads and infinity wheeled properads
• Dendroidal sets
• Feynman Graphs, and Nerve Theorem for Compact Symmetric Multicategories (Extended Abstract)
• Homotopy theory for algebras over polynomial monads
• Formality of the framed little 2-discs operad and semidirect products
• Cyclic multicategories, multivariable adjunctions and mates
• Modular operads
• On the Teichmüller tower of mapping class groups
• Dwyer–Kan homotopy theory for cyclic operads
• The 2-Chu-Dialectica construction and the polycategory of multivariable adjunctions
• A Foundation for PROPs, Algebras, and Modules
• Modular Operads and Batalin-Vilkovisky Geometry
• Higher Topos Theory (AM-170)
• Simplicial homotopy theory

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