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arXiv · 2608.17881

Bogomolny Monopoles on Asymptotically Cylindrical 3-Manifolds

Ryosuke Kimura·Wenhan Wang
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Abstract

We construct irreducible smooth SU(2)-monopoles on asymptotically cylindrical 3-manifolds with vanishing first and second Betti numbers by a gluing construction. We also construct reducible singular U(1)-Dirac monopoles on arbitrary asymptotically cylindrical 3-manifolds.

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BibTeXRIS

Ryosuke Kimura, Wenhan Wang. 2026-08-18. Bogomolny Monopoles on Asymptotically Cylindrical 3-Manifolds. https://arxiv.org/abs/2608.17881

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