A. Kravchenko

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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

Automorphisms of cellular divisions of $2$ -sphere induced by functions with isolated critical points

Anna Kravchenko, Sergiy Maksymenko

Let $f : S^{2} \to R$ be a Morse function on the $2$ -sphere and $K$ be a connected component of some level set of $f$ containing at least one saddle critical point. Then $K$ is…

math.GT2019

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

Anna Kravchenko, Sergiy Maksymenko

Let $M$ be a compact two-dimensional manifold and, $f \in C^{\infty} (M, R)$ be a Morse function, and $Γ_{f}$ be its Kronrod-Reeb graph. Denote by $\mathcal{O}_{f}=\{f \circ h…

math.GT2018

Automorphisms of Kronrod-Reeb graphs of Morse functions on compact surfaces

Anna Kravchenko, Sergiy Maksymenko

Let $M$ be a connected orientable compact surface, $f : M \to R$ be a Morse function, and $D_{id} (M)$ be the group of difeomorphisms of $M$ isotopic to the…

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

Automorphisms of cellular divisions of 2-sphere induced by functions with isolated critical points

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

Automorphisms of Kronrod-Reeb graphs of Morse functions on compact surfaces

Automorphisms of cellular divisions of $2$ -sphere induced by functions with isolated critical points