Constructibility and duality for simple holonomic modules on complex symplectic manifolds

Masaki Kashiwara; Pierre Schapira

paper

Constructibility and duality for simple holonomic modules on complex symplectic manifolds

arXiv:math/0512047

Abstract

Consider a complex symplectic manifold $X$ and the algebroid $W_{X}$ of quantization-deformation. For two regular holonomic modules $L_{i}$ ( $i = 0, 1$ ) supported by smooth Lagrangian manifolds, we prove that the complex $R h o m_{W_{X}} (L_{1}, L_{0})$ is constructible and perverse and dual to the complex $R h o m_{W_{X}} (L_{0}, L_{1})$ .

minor changes: a reference added, remarks added, typos corrected