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arXiv · 2404.17540

Schwarz Modular Operads Revisited: $\mathcal{SM}=\mathcal{S}\circ\mathcal{M}$

Ralph M. Kaufmann·Benjamin C. Ward
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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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Ralph M. Kaufmann, Benjamin C. Ward. 2024-04-26. Schwarz Modular Operads Revisited: $\mathcal{SM}=\mathcal{S}\circ\mathcal{M}$. https://arxiv.org/abs/2404.17540

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