Enhanced perversities

Abstract

The Riemann-Hilbert correspondence embeds the triangulated category of (not necessarily regular) holonomic D-modules into that of $\mathbb{R}$-constructible enhanced ind-sheaves. The source category has a standard t-structure. Here, we provide the target category with a middle perversity t-structure, and prove that the embedding is exact.

65 pages

References in corpus (1)

• Riemann-Hilbert correspondence for holonomic D-modules

Cited by in corpus (7)

• A microlocal approach to the enhanced Fourier-Sato transform in dimension one
• On a topological counterpart of regularization for holonomic D-modules
• D-modules of pure Gaussian type and enhanced ind-sheaves
• Enhanced specialization and microlocalization
• Stokes matrices for Airy equations
• Enhanced nearby and vanishing cycles in dimension one and Fourier transform
• Kashiwara conjugation and the enhanced Riemann-Hilbert correspondence