Quasi Modular Operads
Category Theory
2025-04-10 v1 Algebraic Topology
Abstract
Modular operads are an extension of operads. In the same way that operads, as dendroidal sets, can be considered as presheaves over the category of trees, so can modular operads be considered as presheaves over a category of graphs. This paper contains a definition of the Kan condition for infinity modular operads, as well as a proof of the Nerve Theorem for modular operads, and the equivalence of the modular Kan and Segal conditions. Appendix A contains the same material for cyclic operads.
Cite
@article{arxiv.2504.06522,
title = {Quasi Modular Operads},
author = {Michelle Strumila},
journal= {arXiv preprint arXiv:2504.06522},
year = {2025}
}
Comments
20 pages of article, total 39 pages including appendices and references