约束有理同调圆的环面束的分类

IF 0.6 3区数学 Q3 MATHEMATICS Algebraic and Geometric Topology Pub Date : 2023-09-07 DOI:10.2140/agt.2023.23.2449

Jonathan Simone

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引用次数: 6

摘要

本文利用圆的有理同调，对圆上约束4流形的环面束进行了完全分类。在此过程中，我们沿着约束有理同调球的链环对若干积分手术进行了分类，并探索了双分支覆盖约束有理同调4球的3-辫闭包的连接。

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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Classification of torus bundles that bound rational homology circles

In this article, we completely classify torus bundles over the circle that bound 4-manifolds with the rational homology of the circle. Along the way, we classify certain integral surgeries along chain links that bound rational homology balls and explore a connection to 3-braid closures whose double branched covers bound rational homology 4-balls.

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