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arXiv · 2108.09251

Koszul Feynman Categories

Ralph M. Kaufmann·Benjamin C. Ward
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Abstract

A cubical Feynman category, introduced by the authors in previous work, is a category whose functors to a base category $\mathcal{C}$ behave like operads in $\mathcal{C}$. In this note we show that every cubical Feynman category is Koszul. The upshot is an explicit, minimal cofibrant resolution of any cubical Feynman category, which can be used to model $\infty$ versions of generalizations of operads for both graph based and non-graph based examples.

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Ralph M. Kaufmann, Benjamin C. Ward. 2023-08-08. Koszul Feynman Categories. https://arxiv.org/abs/2108.09251

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