Geodesic
FINITE-GAP INTEGRATION OF THE SU(2) BOGOMOLNY EQUATIONS
Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 25-41

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DOI

The Atiyah–Drinfeld–Hitchin–Manin–Nahm (ADHMN) construction of magnetic monopoles is given in terms of the (normalizable) solutions of an associated Weyl equation. We focus here on solving this equation directly by algebro-geometric means. The (adjoint) Weyl equation is solved using an ansatz of Nahm in terms of Baker–Akhiezer functions. The solution of Nahm's equation is not directly used in our development.
DOI : 10.1017/S0017089508004758
Mots-clés : 35Q58, 14H70, 37J35 
BRADEN, H. W.; ENOLSKI, V. Z. FINITE-GAP INTEGRATION OF THE SU(2) BOGOMOLNY EQUATIONS. Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 25-41. doi: 10.1017/S0017089508004758
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     author = {BRADEN, H. W. and ENOLSKI, V. Z.},
     title = {FINITE-GAP {INTEGRATION} {OF} {THE} {SU(2)} {BOGOMOLNY} {EQUATIONS}},
     journal = {Glasgow mathematical journal},
     pages = {25--41},
     year = {2009},
     volume = {51},
     number = {A},
     doi = {10.1017/S0017089508004758},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004758/}
}
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