环面整数同调三球具有不可约SU(2)$SU(2)$‐表示

IF 0.8 2区数学 Q2 MATHEMATICS Journal of Topology Pub Date : 2023-02-18 DOI:10.1112/topo.12275

Tye Lidman, Juanita Pinzón-Caicedo, Raphael Zentner

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引用次数: 1

摘要

我们证明了如果一个整数同调三球面包含一个嵌入的不可压缩环面，那么它的基群允许不可约SU（2）$SU（2）$-表示。

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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Toroidal integer homology three-spheres have irreducible S U ( 2 ) $SU(2)$ -representations

We prove that if an integer homology three-sphere contains an embedded incompressible torus, then its fundamental group admits irreducible $S U (2)$ -representations.

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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.