4 citations · 7 across the 7 of their papers we have counts for
6 papers
Brunnian Braids and Lie Algebras
J. Y. Li, V. V. Vershinin, J. Wu
Brunnian braids have interesting relations with homotopy groups of spheres. In this work, we study the graded Lie algebra of the descending central series related to Brunnian subgr…
Brunnian Braids on Surfaces
V. G. Bardakov, R. Mikhailov, V. V. Vershinin +1
We determine a set of generators for the Brunnian braids on a general surface for or $\RP^2$. For the case or $\RP^2$, a set of generators for the Brunnian…
On the pure virtual braid group
V. G. Bardakov, R. Mikhailov, V. V. Vershinin +1
In this article, we investigate various properties of the pure virtual braid group PV_3. From its canonical presentation, we obtain a free product decomposition of PV_3. As a conse…
On the Lie algebras of surface pure braid groups
B. Enriquez, V. V. Vershinin
We consider the Lie algebra associated with the descending central series filtration of the pure braid group of a closed surface of arbitrary genus. R. Bezrukavnikov gave a present…
On the Lie algebras associated with pure mapping class groups
R. Karoui, V. V. Vershinin
Pure braid groups and pure mapping class groups of a punctured sphere have many features in common. In the paper the graded Lie algebra of the descending central series of the pure…
On the inverse mapping class monoids
R. Karoui, V. V. Vershinin
Braid groups and mapping class groups have many features in common. Similarly to the notion of inverse braid monoid inverse mapping class monoid is defined. It concerns surfaces wi…