用非紧边界分量映射曲面的类群

IF 0.6 3区数学 Q3 MATHEMATICS

Algebraic and Geometric Topology Pub Date : 2023-09-07 DOI:10.2140/agt.2023.23.2777

Ryan Dickmann

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引用次数: 3

摘要

证明了一类具有非紧边界分量的无穷型曲面的纯映射类群是一致完美的。然后，我们将这一结果与最近在其他情况下的工作结合起来，给出无限型曲面的完美和一致完美纯映射类群的完全分类。我们还开发了一种将一般曲面切割成更简单曲面的方法，并将一些映射类组的结果推广到一般情况。

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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Mapping class groups of surfaces with noncompact boundary components

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.

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来源期刊

Algebraic and Geometric Topology 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebraic and Geometric Topology is a fully refereed journal covering all of topology, broadly understood.