闭表面上超椭圆周期微分同态的Dehn捻表示

IF 0.4 4区数学 Q4 MATHEMATICS

Kodai Mathematical Journal Pub Date : 2019-11-06 DOI:10.2996/kmj/1605063626

Norihisa Takahashi, Hiraku Nozawa

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引用次数: 2

摘要

我们将一个周期微分同构和一个超椭圆对合的交换对在有向封闭曲面上生成的群划分为共轭性。这个结果可以看作是对Ishizaka关于超椭圆周期微分同态映射类分类的结果的改进。作为应用，我们得到了超椭圆周期映射类的Dehn扭转表示，这些表示与Ishizaka的Dehn扭转表示密切相关。

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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Dehn twist presentations of hyperelliptic periodic diffeomorphisms on closed surfaces

We classify up to conjugacy the group generated by a commuting pair of a periodic diffeomorphism and a hyperelliptic involution on an oriented closed surface. This result can be viewed as a refinement of Ishizaka's result on classification of the mapping classes of hyperelliptic periodic diffeomorphisms. As an application, we obtain the Dehn twist presentations of hyperelliptic periodic mapping classes, which are closely related to the ones obtained by Ishizaka.

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来源期刊

Kodai Mathematical Journal 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Kodai Mathematical Journal is edited by the Department of Mathematics, Tokyo Institute of Technology. The journal was issued from 1949 until 1977 as Kodai Mathematical Seminar Reports, and was renewed in 1978 under the present name. The journal is published three times yearly and includes original papers in mathematics.