Involution generators of the big mapping class group

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2024-05-29 DOI:10.1142/s1793525324500171

Tüli̇n Altunöz, Mehmetci̇k Pamuk, Oğuz Yıldız

引用次数: 0

Abstract

Let $S = S (n)$ denote the infinite-type surface with $n$ ends, $n \in ℕ$ , accumulated by genus. For $n \geq 6$ , we show that the mapping class group of $S$ is topologically generated by five involutions. When $n \geq 3$ , it is topologically generated by six involutions.

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大映射类群的卷积发电机

让 S=S(n) 表示有 n 个端点的无穷型曲面，n∈ℕ，按属累加。当 n≥6 时，我们证明 S 的映射类群由五个渐开线拓扑生成。当 n≥3 时，它由六个渐开线拓扑生成。

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

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.