We study modules over stacks of deformation quantization algebroids on complex Poisson
manifolds. We prove finiteness and duality theorems in the relative case and construct the …

Kashiwara, Polesello, Schapira and D'Agnolo defined canonical deformation quantizations
of a holomorphic symplectic manifold and a holomorphic Lagrangian submanifold equipped …

We develop the theory of relative regular holonomic of arbitrary dimension as parameter
space, together with their main functorial properties. In particular, we establish in this …

RIEMANN–HILBERT CORRESPONDENCE FOR MIXED TWISTOR D-MODULES Page 1 J.
Inst. Math. Jussieu (2019) 18(3), 629–672 doi:10.1017/S1474748017000184 c Cambridge …

This paper is a contribution to the study of relative holonomic D-modules. Contrary to the
absolute case, the standard t-structure on holonomic D-modules is not preserved by duality …

Consider a ring К, a topological space X and a sheaf A on X of К [[h]]-algebras. Assuming A
h-adically complete and without htorsion, we first show how to deduce a coherency theorem …

It is a well established fact that the notions of quasi-abelian categories and tilting torsion
pairs are equivalent. This equivalence fits in a wider picture including tilting pairs of t …

We introduce and study the notions of relative constructible functions and relative Euler-
Poincar\'e index which are natural generalizations of their analogs in the absolute case. We …

Let X and S be complex analytic manifolds where S plays the role of a parameter space.
Using the sheaf D∞ X× S/S of relative differential operators of infinite order, we construct …

We formulate and prove a Riemann-Hilbert correspondence between $\hbar $-differential
equations and sheaf quantizations, which can be considered as a correspondence between …