Monopoles and rational maps: A note on a theorem of Donaldson
type: Item
instance of: scholarly article
title: Monopoles and rational maps: A note on a theorem of Donaldson
zbMATH Open document ID: 0591.58037
DOI: 10.1007/BF01212447
author: Jacques Hurtubise
published in: Communications in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: The SU(2)-monopoles in a gauge field theory are studied. As shown by \textit{N. J. Hitchin} [ibid. 89, 145-190 (1983; Zbl 0517.58014)], these monopoles can be obtained from solutions to the Nahm equations. The author elaborates the differential geometry associated with the spectral curve introduced in this theory by \textit{N. J. Hitchin} [ibid. 83, 579-602 (1982; Zbl 0502.58017)] and derives an interpretation of the description given by \textit{S. K. Donaldson} [ibid. 96, 387-408 (1984)] of SU(2) monopoles in terms of rational maps.
Mathematics Subject Classification ID: 58J90
zbMATH DE Number: 3949361
zbMATH Keywords: monopole
zbMATH Keywords: gauge theory
MaRDI profile type: Publication
cites work: Nahm's equations and the classification of monopoles
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description: scientific article; zbMATH DE number 3949361