Microlocal Riemann-Hilbert correspondence (Q2386882)

In this paper, the author constructs the global microlocal Riemann-Hilbert correspondence, in the form of an explicit equivalence between the Abelian stack of microlocal perverse sheaves \(\mu\text{ Perv}({\mathbb C}_X)\) (\(X\) a complex manifold) and the Abelian stack of regular holonomic microdifferential modules \({\mathcal H} \text{ ol}{\mathcal R}\text{ eg} ({\mathcal E}_X).\) The theory of analytic ind-sheaves and its microlocalization is crucial for the construction.