Year: 2021
Type: article
Abstract: We introduce irregular constructible sheaves, which are ${\mathbb {C}}$ -constructible with coefficients in a finite version of the Novikov ring $\Lambda$ and special gradings. We show that the bounded derived category of cohomologically irregular constructible complexes is equivalent to the bounded derived category of holonomic ${\mathcal {D}}$ -modules by a modification of D’Agnolo and Kashiwara's irregular Riemann–Hilbert correspondence. The bounded derived category of cohomologically irregular constructible complexes is equipped with the irregular perverse $t$ -structure, which is a straightforward generalization of usual perverse $t$ -structure, and we prove that its heart is equivalent to the abelian category of holonomic ${\mathcal {D}}$ -modules. We also develop the algebraic version of the theory.
Source: Compositio Mathematica
Author: Tatsuki Kuwagaki
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W2887190288