Schwarz Modular Operads Revisited: $\mathcal{SM}=\mathcal{S}\circ\mathcal{M}$
Algebraic Topology
2024-04-29 v1 Category Theory
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.
Keywords
Cite
@article{arxiv.2404.17540,
title = {Schwarz Modular Operads Revisited: $\mathcal{SM}=\mathcal{S}\circ\mathcal{M}$},
author = {Ralph M. Kaufmann and Benjamin C. Ward},
journal= {arXiv preprint arXiv:2404.17540},
year = {2024}
}