English

Untying knots in 4D and Wedderburn's Theorem

Geometric Topology 2021-08-06 v2 Rings and Algebras

Abstract

It is proved that the Wedderburn Theorem on finite division rings implies that all knots and links in the smooth 4-dimensional manifolds are trivial.

Keywords

Cite

@article{arxiv.1908.00326,
  title  = {Untying knots in 4D and Wedderburn's Theorem},
  author = {Igor Nikolaev},
  journal= {arXiv preprint arXiv:1908.00326},
  year   = {2021}
}

Comments

4 pages; to appear Communications in Algebra

R2 v1 2026-06-23T10:37:09.402Z