# Irregular perverse sheaves

@article{Kuwagaki2018IrregularPS,
title={Irregular perverse sheaves},
author={Tatsuki Kuwagaki},
journal={Compositio Mathematica},
year={2018},
volume={157},
pages={573 - 624}
}
• T. Kuwagaki
• Published 8 August 2018
• Mathematics
• Compositio Mathematica
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…
8 Citations
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