S. Maksymenko

activity

20032026

most citedHomotopy types of stabilizers and orbits of Morse functions on surfaces

35 citations · 200 across the 45 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.DS2021

Morse index of saddle equilibria of gradient-like flows on connected sums of $S^{n - 1} \times S^{1}$

Vyacheslav Grines, Elena Gurevich, Sergiy Maksymenko

Let $M$ be either $n$ -sphere $S^{n}$ or a connected sum of finitely many copies of $S^{n - 1} \times S^{1}$ , $n \geq 4$ . A flow $f^{t}$ on $M$ is called gradien…

math.GT2021

Deformations of functions on surfaces

Sergiy Maksymenko

The paper contains a review on recent progress in the deformational properties of smooth maps from compact surfaces $M$ to a one-dimensional manifold $P$ . It covers description of…

math.AT2021

Fundamental groupoids and homotopy types of non-compact surfaces

Sergiy Maksymenko, Oleksii Nikitchenko

The paper contains an application of van Kampen theorem for groupoids for computation of homotopy types of certain class of non-compact foliated surfaces obtained by gluing at most…

math.GT2021

Reversing orientation homeomorphisms of surfaces

Iryna Kuznietsova, Sergiy Maksymenko

Let $M$ be a connected compact orientable surface, $f : M \to R$ be a Morse function, and $h : M \to M$ be a diffeomorphism which preserves $f$ in the sense that $f \circ h = f$ .…

Morse index of saddle equilibria of gradient-like flows on connected sums of Sn−1×S1

Deformations of functions on surfaces

Fundamental groupoids and homotopy types of non-compact surfaces

Reversing orientation homeomorphisms of surfaces

Morse index of saddle equilibria of gradient-like flows on connected sums of $S^{n - 1} \times S^{1}$