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

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

2007-12-02

arxiv.org/abs/0712.0163v1

Mathematics

Algebraic Geometry

Scientific paper

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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