paper

Knots and links in 2-complexes

arXiv:2306.02432

Abstract

We introduce and study knots and links in 2-dimensional complexes. In particular, we define linking numbers for oriented two-component links in 2-complexes and a Kauffman-type bracket polynomial for links in 2-complexes. We also discuss relationships with knots and links in 3-manifolds.

12 figures