Operads, operadic categories and the blob complex
Category Theory
2024-03-27 v1 Mathematical Physics
math.MP
Abstract
We will show that the Morrison-Walker blob complex appearing in Topological Quantum Field Theory is an operadic bar resolution of a certain operad composed of fields and local relations. As a by-product we develop the theory of unary operadic categories and study some novel and interesting phenomena arising in this context.
Keywords
Cite
@article{arxiv.2212.14598,
title = {Operads, operadic categories and the blob complex},
author = {Michael Batanin and Martin Markl},
journal= {arXiv preprint arXiv:2212.14598},
year = {2024}
}
Comments
54 pages