Communications in Mathematical Physics

, Volume 96, Issue 3, pp 387–407

Nahm's equations and the classification of monopoles


  • S. K. Donaldson
    • All Souls College
    • The Institute for Advanced Study

DOI: 10.1007/BF01214583

Cite this article as:
Donaldson, S.K. Commun.Math. Phys. (1984) 96: 387. doi:10.1007/BF01214583


Solutions of Nahm's system of ordinary differential equations are produced by variational methods. This leads to an explicit parametrisation of the solutions to the Bogomolny equation over ℝ3.

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© Springer-Verlag 1984