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

Lidman, Tye; Pinzón-Caicedo, Juanita; Zentner, Raphael

doi:10.1112/topo.12275

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Journal Article

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

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Pinzón-Caicedo, Juanita
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1112/topo.12275
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https://doi.org/10.48550/arXiv.2101.02621
(Preprint)

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Lidman-Pinzon-Caicedo-Zentner_Toroidal integer homology three‐spheres have irreducible SU (2)‐representations.pdf
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Citation

Lidman, T., Pinzón-Caicedo, J., & Zentner, R. (2023). Toroidal integer homology three-spheres have irreducible SU (2) -representations. Journal of Topology, 16(1), 344-367. doi:10.1112/topo.12275.

Cite as: https://hdl.handle.net/21.11116/0000-000C-C6D5-4

Abstract

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