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Caterpillar Degenerations of Spectral Curves and Double Gelfand-Zeitlin Geometry
In this paper, we study the decomposition, in the caterpillar or weak-coupling limit, of a spectral curve with two irregular poles of order two, namely a spectral curve of type $(2,2)$, into two spectral curves each having one regular singularity(order-$1$ pole) and one irregular pole of order two,
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