Constructibility and duality for simple holonomic modules on complex symplectic manifolds

2005/12/02 by Kashiwara, Masaki, Schapira, Pierre
#14A20 #32C38 #46L65 #Algebraic Geometry (math.AG) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/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 Rhom_WX(L₁,L₀) is constructible and perverse and dual to the complex Rhom_WX(L₀,L₁).

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