Preprint A783/2018
Metric in the moduli of SU(2) monopoles from spectral curves and Gauss-Manin connection in disguise.
Marcus André de Carvalho Torres
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We show here that from the metric of the manifold M20, i.e., the reduced moduli ofSU(2) 2-monopoles in Yang-Mills-Higgs theory, one can recover the respective moduli of spectral curves using the method Gauss-Manin connection in disguise. This work is a step towards creating a inverse process of finding the metric of any M_k^0, from spectral curves. This is a thirty years old problem that we hope to shed some light in it.