Dynnikov coordinates on virtual braid groups

Valerij G. Bardakov (1) , Andrei Vesnin (1) , Bert Wiest (2)

1 Sobolev Institute of Mathematics
2 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Domaines: Topologie géométrique [math.GT]; Théorie des groupes [math.GR]

Valerij G. Bardakov, Andrei Vesnin, Bert Wiest. Dynnikov coordinates on virtual braid groups. 2011. ⟨hal-00577935v1⟩