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arXiv · 1606.03612

Nahm transformation for parabolic Higgs bundles on the projective line --- case of non-semisimple residues

Szilard Szabo
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Abstract

We extend our earlier construction of Nahm transformation for parabolic Higgs bundles on the projective line to solutions with not necessarily semisimple residues and show that it determines a holomorphic mapping on corresponding moduli spaces. The construction relies on suitable elementary modifications of the logarithmic Dolbeault complex.

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Szilard Szabo. 2016-06-11. Nahm transformation for parabolic Higgs bundles on the projective line --- case of non-semisimple residues. https://doi.org/10.1016/j.geomphys.2016.10.018

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