Branching of Hitchin's Prym cover for SL(2)
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Branching of Hitchin's Prym cover for SL(2)

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It is shown that the map from the Jacobian of the spectral curve to the moduli of stable bundles of rank 2 is generically simply branched along an irreducible divisor. This observation falsifies the key step in the "abelianization of the SU(2) WZW connection" presented in a recent paper [Yoshida, Annals 2006]

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