Irregular perverse sheaves

  title={Irregular perverse sheaves},
  author={Tatsuki Kuwagaki},
  journal={Compositio Mathematica},
  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… 

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