Irregular perverse sheaves
نویسندگان
چکیده
We introduce irregular constructible sheaves, which are $\mathbb{C}$-constructible with coefficients in a finite version of Novikov ring $\Lambda$ and special gradings. show that the bounded derived category cohomologically complexes is equivalent to holonomic $\mathcal{D}$-modules by modification D'Agnolo--Kashiwara's Riemann--Hilbert correspondence. The equipped perverse t-structure, straightforward generalization usual t-structure we see its heart abelian $\mathcal{D}$-modules. also develop algebraic theory. Furthermore, discuss reason appearance using conjectural reformulation correspondence terms certain Fukaya category.
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2021
ISSN: ['0010-437X', '1570-5846']
DOI: https://doi.org/10.1112/s0010437x20007678