Ribbon cobordisms as a partial order

IF 0.6 3区数学 Q3 MATHEMATICS

Mathematical Research Letters Pub Date : 2024-05-14 DOI:10.4310/mrl.2023.v30.n5.a8

Marius Huber

引用次数: 0

Abstract

We show that the notion of ribbon rational homology cobordism yields a partial order on the set of aspherical 3‑manifolds, thus supporting a conjecture formulated by Daemi, Lidman, Vela–Vick and Wong. Our proof is built on Agol’s recent proof of the fact that ribbon concordance yields a partial order on the set of knots in the 3‑sphere.

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作为偏序的带状共振

我们证明了带状理性同调概念在非球面 3-manifolds集合上产生了一个偏序，从而支持了由 Daemi、Lidman、Vela-Vick 和 Wong 提出的猜想。我们的证明建立在阿戈尔最近对带状同调产生 3 球中结集的偏序这一事实的证明之上。

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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来源期刊

Mathematical Research Letters 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6.0 months

期刊介绍： Dedicated to publication of complete and important papers of original research in all areas of mathematics. Expository papers and research announcements of exceptional interest are also occasionally published. High standards are applied in evaluating submissions; the entire editorial board must approve the acceptance of any paper.