English

Braid presentation of virtual knots and welded knots

Geometric Topology 2007-05-23 v1

Abstract

The notion of a virtual knot introduced by L. Kauffman induces the notion of a virtual braid. It is closely related with a welded braid of R. Fenn, R. Rimanyi and C. Rourke. Alexander's and Markov's theorems for virtual knots and braids are proved. Similar results for welded knots and braids are also proved.

Cite

@article{arxiv.math/0008092,
  title  = {Braid presentation of virtual knots and welded knots},
  author = {Seiichi Kamada},
  journal= {arXiv preprint arXiv:math/0008092},
  year   = {2007}
}

Comments

22 pages, 18 figures

R2 v1 2026-07-22T16:34:10.173Z