A. Vesnin

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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…