# Enhanced specialization and microlocalization

## TL;DR

This paper extends the theory of enhanced ind-sheaves by developing natural enhancements of Sato's specialization and microlocalization functors, advancing the framework for irregular Riemann-Hilbert correspondence.

## Contribution

It introduces natural enhancements of Sato's specialization and microlocalization functors within the enhanced ind-sheaves framework, clarifying their properties.

## Key findings

- Enhanced ind-sheaves are suitable for irregular Riemann-Hilbert correspondence
- Natural enhancements of Sato's functors are constructed
- Properties of the enhanced functors are discussed

## Abstract

Enhanced ind-sheaves provide a suitable framework for the irregular Riemann-Hilbert correspondence. In this paper, we show how Sato's specialization and microlocalization functors have a natural enhancement, and discuss some of their properties.