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Bogomolny Monopoles on Asymptotically Cylindrical 3-Manifolds

Ryosuke Kimura, Wenhan Wang

math.DGarXiv:2608.17881

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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