A calculus for S^3-diagrams of manifolds with boundary
Category Theory
2023-09-27 v8 Geometric Topology
Abstract
We introduce a diagrammatic language for compact, orientable 3-dimensional manifolds with boundary. A diagrammatic calculus (both integral and rational version) appropriate for this language is introduced and its completeness is proved in the paper. Moreover, a calculus consisting of a finite list of local moves is presented.
Keywords
Cite
@article{arxiv.2111.11311,
title = {A calculus for S^3-diagrams of manifolds with boundary},
author = {Bojana Femic and Vladimir Grujic and Jovana Obradovic and Zoran Petric},
journal= {arXiv preprint arXiv:2111.11311},
year = {2023}
}
Comments
20 pages, this is a significantly shortened version of the paper "An operad of 3-manifolds'', which is also available here