I. Kuznietsova

collaborators

3 papers

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 $f \circ h = f$ .…

math.GR2019

First Betti numbers of orbits of Morse functions on surfaces

Iryna Kuznietsova, Yuliia Soroka

In this article we study algebraic properties of the specific class of groups $G$ generated by direct products and wreath products. Such class of groups appears in calcul…

math.GT2019

Homotopy properties of smooth functions on the Möbius band

Iryna Kuznietsova, Sergiy Maksymenko

Let $B$ be a Möbius band and $f : B \to R$ be a Morse map taking a constant value on $\partial B$ , and $S (f, \partial B)$ be the group of diffeomorphisms $h$ of $B$ …