环面整数同调三球具有不可约SU(2)$SU(2)$‐表示

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。

Toroidal integer homology three-spheres have irreducible

S
U
(
2
)

$SU(2)$
-representations

查看原文

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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