双格拉克扭转：一个五维的方法

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-07-30 DOI:10.1016/j.aim.2025.110455

David Gabai, Patrick Naylor, Hannah Schwartz

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引用次数: 0

摘要

使用5维视角，我们平衡了代数和几何柄对消，以表明某些2球的Gluck扭转的双重嵌入具有两个最小值的4球是标准的。这包括所有的两个球体，它们是带状圆盘的结合，其中一个有一个非圆盘。作为一种应用，我们生产了不知道是标准的schoen蝇球的新例子。

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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Doubles of Gluck twists: A five-dimensional approach

Using a 5-dimensional perspective, we balance algebraic and geometric handle cancellation to show that doubles of Gluck twists of certain 2-spheres embedded in the 4-sphere with two minima are standard. This includes all 2-spheres which are unions of ribbon discs, one of which has undisking number one. As an application, we produce new examples of Schoenflies balls not known to be standard.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.