Geodesic
$\operatorname{SU}(2)$-monopoles, curves with symmetries and Ramanujan's heritage
Sbornik. Mathematics, Tome 201 (2010) no. 6, pp. 801-853

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We develop the Ercolani-Sinha construction of SU(2) monopoles for a five-parameter family of centred charge 3 monopoles. In particular we show how to solve the transcendental constraints arising on the spectral curve. For a class of symmetric curves the transcendental constraints become a number-theoretic problem and a recently proven identity of Ramanujan provides a solution. Bibliography: 36 titles.
Keywords: Ramanujan's hypergeometric identities, algebraic curves with automorphisms.
Mots-clés : non-Abelian monopole 
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H. W. Braden; V. Z. Enolski. $\operatorname{SU}(2)$-monopoles, curves with symmetries and Ramanujan's heritage. Sbornik. Mathematics, Tome 201 (2010) no. 6, pp. 801-853. http://geodesic.mathdoc.fr/item/SM_2010_201_6_a1/