V. Vershinin

activity

20032023

most citedBasis-conjugating automorphisms of a free group and associated Lie algebras

49 citations · 56 across the 13 of their papers we have counts for

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4 papers · 1 filter

math.AT2021

Path homology of directed hypergraphs

Yuri Muranov, Anna Szczepkowska, Vladimir Vershinin

We describe various path homology theories constructed for a directed hypergraph. We introduce the category of directed hypergraphs and the notion of a homotopy in this category. A…

math.AT2017

On addition theorems related to elliptic integrals

Malkhaz Bakuradze, Vladimir Vershinin

This paper provides some explicit formulas related to addition theorems for elliptic integrals $\int_{0}^{x} d t / R (t)$ , where $R (t)$ is the square root from a polynomial of degree 4. Th…

math.AT2013

On Cohen braids

Valery Bardakov, Vladimir Vershinin, Jie Wu

For a general surface $M$ and an arbitrary braid $α$ from the surface braid group $B_{n - 1} (M)$ we study the system of equations $d_{1} β = \dots = d_{n} β = α,$ where operation $d_{i}$ is de…

math.AT2012

Symplectic Cobordism in Small Dimensions and a Series of Elements of Order Four

Aleksandr L. Anisimov, Vladimir V. Vershinin

We present the structure of symplectic cobordism ring $M S p_{*}$ in dimensions up to 51 and give a construction of an infinite series of elements $Γ_{i}$ , $i = 1, 3, 4, ...$ , of order f…