Feynman Graphs, and Nerve Theorem for Compact Symmetric Multicategories (Extended Abstract)

DOI10.1016/j.entcs.2011.01.025zbMath1348.81242arXiv0908.2675OpenAlexW2164493000WikidataQ113318312 ScholiaQ113318312MaRDI QIDQ2825366

André Joyal, Joachim Kock

Publication date: 7 October 2016

Published in: Electronic Notes in Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2675

zbMATH Keywords

multicategoryFeynman graphmonadmodular operadnerve theorem

Mathematics Subject Classification ID

Related Items (16)

Graphs, hypergraphs, and properads ⋮ Coextension of scalars in operad theory ⋮ Data Types with Symmetries and Polynomial Functors over Groupoids ⋮ Decomposition spaces, incidence algebras and Möbius inversion. I: Basic theory ⋮ Cyclic multicategories, multivariable adjunctions and mates ⋮ 2-Segal spaces as invertible infinity-operads ⋮ String diagrams for traced and compact categories are oriented 1-cobordisms ⋮ Modular operads and the nerve theorem ⋮ Categories of graphs for operadic structures ⋮ Monads with arities and their associated theories ⋮ A formal language for cyclic operads ⋮ Graphical combinatorics and a distributive law for modular operads ⋮ Higher cyclic operads ⋮ A graphical category for higher modular operads ⋮ Dwyer–Kan homotopy theory for cyclic operads ⋮ Homotopy theory for algebras over polynomial monads

Cites Work

• A cellular nerve for higher categories
• Sheaves in geometry and logic: a first introduction to topos theory
• Homotopy invariant algebraic structures on topological spaces
• Dendroidal sets
• The geometry of iterated loop spaces
• Modular operads
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