English

A Note on a Map from Knots to $2$-Knots

Geometric Topology 2016-04-25 v1

Abstract

We construct a map from knots to (abstract) 2-knots which can be extended to higher dimensions; this map is the natural "knot" counterpart for "braid" theory of groups GnkG_{n}^{k}.

Keywords

Cite

@article{arxiv.1604.06597,
  title  = {A Note on a Map from Knots to $2$-Knots},
  author = {Vassily Olegovich Manturov},
  journal= {arXiv preprint arXiv:1604.06597},
  year   = {2016}
}

Comments

6 pages

R2 v1 2026-06-22T13:38:27.932Z