Bohdan Feshchenko

activity

20142024

most citedOrbits of smooth functions on 2-torus and their homotopy types

14 citations · 26 across the 8 of their papers we have counts for

collaborators

9 papers

math.GT2024

Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions

Bohdan Feshchenko

This article is devoted to the study of a certain class of smooth circle-valued functions on a cylinder $S^{1} \times [0, 1]$ , a torus $T^{2}$ , a disk $D^{2}$ and a sphere $S^{2}$ which is a…

math.GT2023

Homotopy type of stabilizers of smooth functions with non-isolated singularities on surfaces

Bohdan Feshchenko

The paper is devoted to the study of homotopy properties of stabilizers of smooth functions on oriented surfaces, i.e., groups of diffeomorphisms of surfaces preserving a given fun…

math.GT2021

Deformations of circle-valued functions on $2$ -torus

Bohdan Feshchenko

In this paper we give an algebraic description of fundamental groups of orbits of circle-valued smooth functions from some subspace of the space of smooth functions with isolated s…

math.GT2019

Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-torus

Anna Kravchenko, Bohdan Feshchenko

This paper is devoted to the study of special subgroups of the automorphism groups of Kronrod-Reeb graphs of a Morse functions on $2$ -torus $T^{2}$ which arise from the action of dif…

math.GT2019

Deformations of smooth functions on $2$ -torus

Bohdan Feshchenko

Let $f$ be a Morse function on a smooth compact surface $M$ and $S^{'} (f)$ be a group of $f$ -preserving diffeomorphisms of $M$ which are isotopic to the identity map. Let a…

math.AT2018★ 1 cited

Deformations of smooth function on $2$ -torus whose KR-graph is a tree

Bohdan Feshchenko

Let $f : T^{2} \to R$ be Morse function on $2$ -torus $T^{2},$ and $O (f)$ be the orbit of $f$ with respect to the right action of the group of diffeomorphisms $\mathcal{…

math.AT2016★ 3 cited

Actions of finite groups and smooth functions on surfaces

Bohdan Feshchenko

Let $f : M \to R$ be a Morse function on a smooth closed surface, $V$ be a connected component of some critical level of $f$ , and $E_{V}$ be its atom. Let also $\math…

math.GT2014★ 8 cited

Smooth functions on 2-torus whose Kronrod-Reeb graph contains a cycle

Sergiy Maksymenko, Bohdan Feshchenko

Let $f : M \to R$ be a Morse function on a connected compact surface $M$ , and $S (f)$ and $O (f)$ be respectively the stabilizer and the orbit of $f$ with r…

math.GT2014★ 14 cited

Orbits of smooth functions on 2-torus and their homotopy types

Sergiy Maksymenko, Bohdan Feshchenko

Let $f : T^{2} \to R$ be a Morse function on $2$ -torus $T^{2}$ such that its Kronrod-Reeb graph $Γ (f)$ has exactly one cycle, i.e. it is homotopy equivalent to $S^{1}$ . Under some a…

Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions

Homotopy type of stabilizers of smooth functions with non-isolated singularities on surfaces

Deformations of circle-valued functions on 2-torus

Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-torus

Deformations of smooth functions on 2-torus

Deformations of smooth function on 2-torus whose KR-graph is a tree

Actions of finite groups and smooth functions on surfaces

Smooth functions on 2-torus whose Kronrod-Reeb graph contains a cycle

Orbits of smooth functions on 2-torus and their homotopy types

Deformations of circle-valued functions on $2$ -torus

Deformations of smooth functions on $2$ -torus

Deformations of smooth function on $2$ -torus whose KR-graph is a tree