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arXiv · 1702.03306

Nahm transformation for parabolic integrable connections on the projective line -- case of generic regular graded residues

Szilárd Szabó
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Abstract

We give a de Rham interpretation of Nahm's transform for certain parabolic harmonic bundles on the projective line and compare it to minimal Fourier--Laplace transform of $\mathcal{D}$-modules. We give an algebraic definition of a parabolic structure on the transformed bundle and show that it is compatible with the transformed harmonic metric.

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Szilárd Szabó. 2017-02-10. Nahm transformation for parabolic integrable connections on the projective line -- case of generic regular graded residues. https://arxiv.org/abs/1702.03306

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