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Schwarz Modular Operads Revisited: SM=S\circM

2024/04/26 by Ralph M. Kaufmann, Kaufmann, Ralph M., Benjamin C. Ward +1
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Analytic and geometric function theory #Category Theory (math.CT) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2404.17540

openalex publication_date 2024/04/26 · openalex created_date 2024/04/30 · openalex updated_date 2026/07/28

Abstract

We prove that the Feynman category encoding Schwarz's variant of modular operads is Koszul. Our proof uses a generalization of the theory of distributive laws to the groupoid colored setting.

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