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

Authors

  • A. Kravchenko Taras Shevchenko National University of Kyiv, 60 Volodymyrska str., Kyiv, 01033, Ukraine
  • B. Feshchenko Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka str., Kyiv, 01601, Ukraine

DOI:

https://doi.org/https://doi.org/10.31392/MFAT-npu26_1.2020.07

Keywords:

Automorphisms, graphs, Morse functions

Abstract

This paper is devoted to a study of special subgroups of automorphism groups of Kronrod-Reeb graphs of Morse functions on $2$-torus $T^2$ which arise from actions of diffeomorphisms preserving a given Morse function on $T^2$. In this paper we give a full description of such classes of groups.

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Published

2020-03-25

Issue

Vol. 26 No. 1 (2020)

Section

Articles

How to Cite

Kravchenko, A., and B. Feshchenko. “Automorphisms of Kronrod-Reeb Graphs of Morse Functions on 2-Torus”. Methods of Functional Analysis and Topology, vol. 26, no. 1, Mar. 2020, pp. 88-96, https://doi.org/https://doi.org/10.31392/MFAT-npu26_1.2020.07.