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- W3137977419 abstract "We introduce irregular constructible sheaves, which are $mathbb{C}$-constructible with coefficients in a finite version of 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--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 see its heart is equivalent to the abelian category of holonomic $mathcal{D}$-modules. We also develop the algebraic version of the theory. Furthermore, we discuss the reason of the appearance of Novikov ring by using a conjectural reformulation of Riemann--Hilbert correspondence in terms of certain Fukaya category." @default.
- W3137977419 created "2021-03-29" @default.
- W3137977419 creator A5041243507 @default.
- W3137977419 date "2021-03-01" @default.
- W3137977419 modified "2023-10-18" @default.
- W3137977419 title "Irregular perverse sheaves" @default.
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- W3137977419 doi "https://doi.org/10.1112/s0010437x20007678" @default.
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