Presentations for Globular Operads

TL;DR

This paper develops a framework for presentations of globular operads and constructs specific presentations for operads related to key theories of n-category up to dimension 4.

Contribution

It introduces a systematic approach to presentations of globular operads and applies it to important theories of n-category, expanding the tools available for higher category theory.

Findings

Constructed presentations for globular operads of key n-category theories

Established a systematic method for developing globular operad presentations

Extended the theory of globular operads to dimensions up to 4

Abstract

In this paper we develop the theory of presentations for globular operads and construct presentations for the globular operads corresponding to several key theories of $n$-category for $n \leqslant 4$.