English

Dynnikov coordinates on virtual braid groups

Geometric Topology 2011-07-25 v2 Group Theory

Abstract

We define Dynnikov coordinates on virtual braid groups. We prove that they are faithful invariants of virtual 2-braids, and present evidence that they are also very powerful invariants for general virtual braids.

Cite

@article{arxiv.1103.4441,
  title  = {Dynnikov coordinates on virtual braid groups},
  author = {Valerij G. Bardakov and Andrei Vesnin and Bert Wiest},
  journal= {arXiv preprint arXiv:1103.4441},
  year   = {2011}
}
R2 v1 2026-06-21T17:43:18.280Z