ar X iv : m at h - ph / 0 60 10 40 v 1 2 0 Ja n 20 06 REMARKS ON THE COMPLEX GEOMETRY OF THE 3 - MONOPOLE
نویسندگان
چکیده
We develop the Ercolani-Sinha construction of SU (2) monopoles and make this effective 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. The Ercolani-Sinha construction provides a gauge-transform of the Nahm data.
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