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

## TL;DR

This paper provides a de Rham interpretation of Nahm's transform for parabolic harmonic bundles on the projective line, comparing it with Fourier--Laplace transform of D-modules and establishing compatibility with harmonic metrics.

## Contribution

It introduces an algebraic definition of parabolic structures on transformed bundles and demonstrates their compatibility with harmonic metrics, advancing the understanding of Nahm transforms in this context.

## Key findings

- De Rham interpretation of Nahm's transform for parabolic harmonic bundles
- Comparison with minimal Fourier--Laplace transform of D-modules
- Compatibility of parabolic structures with harmonic metrics

## 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.