Constructibility and duality for simple holonomic modules on complex symplectic manifolds

Details Constructibility and duality for simple holonomic modules on complex symplectic manifolds Constructibility and duality for simple holonomic modules on complex symplectic manifolds

2005-12-02

arxiv.org/abs/math/0512047v2

Mathematics

Quantum Algebra

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

Scientific paper

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
$Rhom_{W_X}(L_1,L_0)$ is constructible and perverse and dual to the complex
$Rhom_{W_X}(L_0,L_1)$.

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