Operadic 2-rigs
Category Theory
2026-07-14 v1 Algebraic Topology
Quantum Algebra
Abstract
We show that the bicategory of operads and bimodules can be embedded into the bicategory of symmetric 2-rigs, a categorification of commutative rings. In order to do this, we introduce the notion of an operadic 2-rig and show that the full sub-bicategory of symmetric 2-rigs spanned by operadic 2-rigs has the universal property of being a completion under Eilenberg-Moore-Kleisli objects.
Cite
@article{arxiv.2607.12705,
title = {Operadic 2-rigs},
author = {M. Anel and M. Fiore and N. Gambino},
journal= {arXiv preprint arXiv:2607.12705},
year = {2026}
}
Comments
31 pages. Comments welcome