在边界群上进行环面上的群动作

Pub Date : 2020-07-13 DOI:10.5802/aif.3480

Kathryn Mann, Sam Nariman

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引用次数: 0

摘要

本文研究了环面上群作用的局域性问题，并给出了不能推广到边界3流形上的群作用于环面上的微分同态同位素的例子。这解决了作者在之前的工作中提出的一个问题。

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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On the bordism group for group actions on the torus

In this short note, we study the bordism problem for group actions on the torus and give examples of groups acting on the torus by diffeomorphisms isotopic to the identity that cannot be extended to an action on a bounding 3-manifold. This solves a question raised in the previous work of the authors.

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