We show here that from the metric of the manifold $M^0_2$, i.e., the reducedmoduli of $SU(2)$ 2-monopoles in Yang-Mills-Higgs theory, one can recover therespective moduli of spectral curves and we claim that this process can be doneconversely to find the metric of $M^0_k$ , $k >2$. In this case,the methodGauss-Manin connection in disguise will show that the metric of $M^0_k$ can bewritten in terms of modular-type functions attached to the spectral curves.This is a thirty years old problem that we hope to shed some light in it.
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机译：我们在这里表明，根据流形$ M ^ 0_2 $的度量，即Yang-Mills-Higgs理论中$ SU（2）$ 2个单极子的降模，可以恢复光谱曲线的模量，因此我们认为相反，可以执行此过程以找到度量$ M ^ 0_k $，$ k> 2 $。在这种情况下，变相的高斯-曼宁方法将表明$ M ^ 0_k $的度量可以根据附加到光谱曲线上的模函数来编写。这是一个已有30年历史的问题了，我们希望摆脱这个问题点燃它。
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