English

Knots and links in 2-complexes

Geometric Topology 2023-06-13 v2

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.

Keywords

Cite

@article{arxiv.2306.02432,
  title  = {Knots and links in 2-complexes},
  author = {Vladimir Turaev},
  journal= {arXiv preprint arXiv:2306.02432},
  year   = {2023}
}

Comments

12 figures

R2 v1 2026-06-28T10:55:54.473Z