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.

我们介绍了不规则可构造滑轮，它们是$ {\ mathbb {C}} $ -可通过Novikov环$ \ Lambda $的有限版本中的系数和特殊等级来构造。我们证明，通过修改D'Agnolo和Kashiwara的不规则Riemann-Hilbert对应关系，同调不规则可构造复合体的有界派生类别等于完整的$ {\ mathcal {D}} $ -模的有界派生类别。同上不规则可构造复合体的有界派生类别配备了不规则变态$ t $结构，这是对常见变态$ t $的简单概括。-结构，我们证明其心脏等同于完整的$ {\ mathcal {D}} $ -modules的阿贝尔类别。我们还开发了该理论的代数形式。