M. Ivanov

collaborators

3 papers

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…

math.GT2019

Polynomials of genus one prime knots of complexity at most five

Maxim Ivanov, Andrei Vesnin

Prime knots of genus one admitting diagram with at most five classical crossings were classified by Akimova and Matveev in 2014. In 2018 Kaur, Prabhakar and Vesnin introduced famil…

math.GT2019

$F$ -polynomials of tabulated virtual knots

Maxim Ivanov, Andrei Vesnin

A sequence of $F$ -polynomials ${F_{K}^{n} (t, ℓ)}_{n = 1}^{\infty}$ of virtual knots $K$ was defined by Kaur, Prabhakar, and Vesnin in 2018. These polynomials have been expressed i…

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

Polynomials of genus one prime knots of complexity at most five

F-polynomials of tabulated virtual knots

$F$ -polynomials of tabulated virtual knots