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


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.

Key words: Automorphisms, graphs, Morse functions.


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Article Information

TitleAutomorphisms of Kronrod-Reeb graphs of Morse functions on $2$-torus
SourceMethods Funct. Anal. Topology, Vol. 26 (2020), no. 1, 88-96
MilestonesReceived 11/12/2019; Revised 31/01/2020
CopyrightThe Author(s) 2020 (CC BY-SA)

Authors Information

Anna Kravchenko
Taras Shevchenko National University of Kyiv, 60 Volodymyrska str., Kyiv, 01033, Ukraine

Bohdan Feshchenko
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka str., Kyiv, 01601, Ukraine


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Citation Example

Anna Kravchenko and Bohdan Feshchenko, Automorphisms of Kronrod-Reeb graphs of Morse functions on $2$-torus, Methods Funct. Anal. Topology 26 (2020), no. 1, 88-96.


BibTex

@article {MFAT1291,
    AUTHOR = {Anna Kravchenko and Bohdan Feshchenko},
     TITLE = {Automorphisms of Kronrod-Reeb graphs of  Morse functions on $2$-torus},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {26},
      YEAR = {2020},
    NUMBER = {1},
     PAGES = {88-96},
      ISSN = {1029-3531},
       URL = {http://mfat.imath.kiev.ua/article/?id=1291},
}


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