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.
Full Text
Article Information
| Title | Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-torus |
| Source | Methods Funct. Anal. Topology, Vol. 26 (2020), no. 1, 88-96 |
| DOI | 10.31392/MFAT-npu26_1.2020.07 |
| MathSciNet |
MR4113584 |
| Milestones | Received 11/12/2019; Revised 31/01/2020 |
| Copyright | The 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
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},
MRNUMBER = {MR4113584},
DOI = {10.31392/MFAT-npu26_1.2020.07},
URL = {http://mfat.imath.kiev.ua/article/?id=1291},
}
