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Toroidal integer homology three-spheres have irreducible SU(2)$SU(2)$-representations
Journal of Topology ( IF 0.8 ) Pub Date : 2023-02-18 , DOI: 10.1112/topo.12275
Tye Lidman 1 , Juanita Pinzón‐Caicedo 2 , Raphael Zentner 3
Affiliation  

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

中文翻译:

环形整数同调三球具有不可约的 SU(2)$SU(2)$-表示

我们证明如果一个整数同调三球包含一个嵌入的不可压缩环面,那么它的基本群承认不可约◂⋅▸小号ü(2个)$SU(2)$-陈述。
更新日期:2023-02-18
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