Mapping class groups of surfaces with noncompact boundary components

被引：1

作者：

Dickmann, Ryan ^{[1
,2
]}

机构：

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

[2] Georgia Inst Technol, Dept Math, Atlanta, GA 30332 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2023年 / 23卷 / 06期

关键词：

CLASSIFICATION;

D O I：

10.2140/agt.2023.23.2777

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the pure mapping class group is uniformly perfect for a certain class of infinite-type surfaces with noncompact boundary components. We then combine this result with recent work in the remaining cases to give a complete classification of the perfect and uniformly perfect pure mapping class groups for infinite-type surfaces. We also develop a method to cut a general surface into simpler surfaces and extend some mapping class group results to the general case.

引用

页码：2777 / 2821

页数：48

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