paper

A calculus for S^3-diagrams of manifolds with boundary

arXiv:2111.11311

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.

20 pages, this is a significantly shortened version of the paper "An operad of 3-manifolds'', which is also available here