Note on Relation between Enhanced Ind-Sheaves and Enhanced Subanalytic Sheaves

TL;DR

This paper explores the connections between enhanced ind-sheaves and enhanced subanalytic sheaves, relating key theorems in the Riemann-Hilbert correspondence for holonomic D-modules, thereby clarifying their interrelations.

Contribution

It establishes a new relation between enhanced ind-sheaves and enhanced subanalytic sheaves, linking two important theorems in the theory of holonomic D-modules.

Findings

Relation between Theorem 9.5.3 and Theorem 6.3 clarified

Connection between enhanced ind-sheaves and enhanced subanalytic sheaves explained

Implications for Riemann-Hilbert correspondence for irregular holonomic D-modules

Abstract

In this paper, we will explain a relation between [Thm. 9.5.3, Andrea D'Agnolo and Masaki Kashiwara, Riemann-Hilbert correspondence for holonomic D-modules, 2016] and [Thm. 6.3, Masaki Kashiwara, Riemann-Hilbert correspondence for irregular holonomic D-modules]. For this purpose, we will also explain a relation between enhanced ind-sheaves and enhanced subanalytic sheaves.