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

IF 0.2 Q4 MATHEMATICS

Methods of Functional Analysis and Topology Pub Date : 2019-12-02 DOI:10.31392/mfat-npu26_1.2020.07

A. Kravchenko, Bohdan Feshchenko

引用次数: 3

Abstract

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 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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2环面上Morse函数的Kronrod-Reeb图的自同构

本文研究了在$2$-环面$T^2$上Morse函数的Kronrod-Reb图的自同构群的特殊子群，这些子群是由保持给定Morse函数在$T^2*上的微分同胚作用引起的。在本文中，我们给出了这类群的一个完整的描述。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Methods of Functional Analysis and Topology MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

25 weeks

期刊介绍： Methods of Functional Analysis and Topology (MFAT), founded in 1995, is a peer-reviewed arXiv overlay journal publishing original articles and surveys on general methods and techniques of functional analysis and topology with a special emphasis on applications to modern mathematical physics.