Koszul Feynman Categories
Algebraic Topology
2023-08-09 v2 Category Theory
Abstract
A cubical Feynman category, introduced by the authors in previous work, is a category whose functors to a base category behave like operads in . 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 versions of generalizations of operads for both graph based and non-graph based examples.
Keywords
Cite
@article{arxiv.2108.09251,
title = {Koszul Feynman Categories},
author = {Ralph M. Kaufmann and Benjamin C. Ward},
journal= {arXiv preprint arXiv:2108.09251},
year = {2023}
}
Comments
final version with minor revisions