Corpus ID: 14137713

Remarks on the complex geometry of the 3-monopole

@article{Braden2006RemarksOT,
  title={Remarks on the complex geometry of the 3-monopole},
  author={H. Braden and V. Enolski},
  journal={arXiv: Mathematical Physics},
  year={2006}
}
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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