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• W2330782233 abstract "In this work we study the dimensional reduction of smooth circle invariant Yang-Mills instantons defined on 4-manifolds which are non-trivial circle fibrations over hyperbolic 3-space. A suitable choice of the 4-manifold metric within a specific conformal class gives rise to singular and smooth hyperbolic monopoles. A large class of monopoles is obtained if the conformal factor satisfies the Helmholtz equation on hyperbolic 3-space. We describe simple configurations and relate our results to the JNR construction, for which we provide a geometric interpretation." @default.
• W2330782233 created "2016-06-24" @default.
• W2330782233 creator A5037897982 @default.
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• W2330782233 date "2016-07-01" @default.
• W2330782233 modified "2023-09-27" @default.
• W2330782233 title "Monopoles, instantons, and the Helmholtz equation" @default.
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• W2330782233 doi "https://doi.org/10.1063/1.4955418" @default.
• W2330782233 hasPublicationYear "2016" @default.
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