| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660571 | Topology and its Applications | 2009 | 12 Pages |
Abstract
We determine the lower central series of the virtual braid group VBn and of the kernels of two different projections of VBn in Sn: the normal closure of the Artin braid group Bn, that we will denote by Hn, and the so-called virtual pure braid group VPn, which is related to Yang Baxter equation. We describe relations between Hn and VPn and we provide a connection between virtual pure braids and the finite type invariant theory for virtual knots defined by Goussarov, Polyak and Viro.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
