不可定向4-流形的三切分

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2020-10-14 DOI:10.1307/mmj/20216127

Maggie Miller, Patrick Naylor

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引用次数: 2

摘要

研究光滑紧致非定向4-流形的三等分，并引入具有边界的非定向4-流形的三等分。特别地，我们证明了Laudenbach-Poenaru经典定理的一个非定向类比。因此，存在闭合不可定向4流形的三切图和Kirby图。我们用许多例子讨论了如何将三分理论应用于非定向4流形的设置。

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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Trisections of Nonorientable 4-Manifolds

We study trisections of smooth, compact non-orientable 4-manifolds, and introduce trisections of non-orientable 4-manifolds with boundary. In particular, we prove a non-orientable analogue of a classical theorem of Laudenbach-Poenaru. As a consequence, trisection diagrams and Kirby diagrams of closed non-orientable 4-manifolds exist. We discuss how the theory of trisections may be adapted to the setting of non-orientable 4-manifolds with many examples.

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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.