Holonomic D‑Modules on Complex Curves and Mirror Pullback : A Structure‑Preserving Comparison via Automorphisms

Abstract

This paper introduces the mirror pullback of holonomic D‑modules on complex curves, a structure‑preserving comparison defined via automorphisms. It maintains one‑dimensional thickness, transforms monodromy naturally, and provides a new framework consistent with the Riemann–Hilbert correspondence.