
doi: 10.1007/bf01208717
Using the holomorphic geometry of the space of straight lines in Euclidean 3-space, it is shown that every static monopole of chargek may be constructed canonically from an algebraic curve by means of the Atiyah-Ward Ansatz\(A_k \).
Special algebraic curves and curves of low genus, Bogomolny equation, 14H45, 53C80, 14F05, Sheaves, derived categories of sheaves, etc., twistor theory, 53C05, Geometric quantization, 32L25, Constructive quantum field theory, Electromagnetic fields in general relativity and gravitational theory, Yang-Mills-Higgs monopoles, 81E10, instantons, Higgs field, Applications of global differential geometry to the sciences
Special algebraic curves and curves of low genus, Bogomolny equation, 14H45, 53C80, 14F05, Sheaves, derived categories of sheaves, etc., twistor theory, 53C05, Geometric quantization, 32L25, Constructive quantum field theory, Electromagnetic fields in general relativity and gravitational theory, Yang-Mills-Higgs monopoles, 81E10, instantons, Higgs field, Applications of global differential geometry to the sciences
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