A. Vesnin

collaborators

3 papers

math.GT2023

Representations of flat virtual braids by automorphisms of free group

Bogdan Chuzhinov, Andrey Vesnin

Representations of braid group $B_{n}$ on $n \geq 2$ strands by automorphisms of a free group of rank $n$ go back to Artin (1925). In 1991 Kauffman introduced a theory of virtual bra…

math.GT2020

On correlation of hyperbolic volumes of fullerenes with their properties

Andrey Egorov, Andrei Vesnin

We observe that fullerene graphs are one-skeletons of polyhedra, which can be realized with all dihedral angles equal to $π /2$ in a hyperbolic 3-dimensional space. One of the most…

math.GR2020

Representations of flat virtual braids which do not preserve the forbidden relations

V. Bardakov, B. Chuzhinov, I. Emel'yanenkov +8

In the paper, we construct a representation $θ : F V B_{n} \to Aut (F_{2 n})$ of the flat virtual braid group $F V B_{n}$ on $n$ strands by automorphisms of the free group $F_{2 n}$ with $2…