在边界群上进行环面上的群动作

IF 0.8 4区数学 Q2 MATHEMATICS

Annales De L Institut Fourier 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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来源期刊

Annales De L Institut Fourier 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

1 months

期刊介绍： The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French. The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.