Constructibility and duality for simple holonomic modules on complex symplectic manifolds
نویسندگان
چکیده
Consider a complex symplectic manifold X and the algebroid stack WX of deformation-quantization. For two regular holonomic WXmodules Li (i = 0, 1) supported by smooth Lagrangian submanifolds, we prove that the complex RHom WX (L1,L0) is perverse over the field Wpt and dual to the complex RHomWX(L0,L1).
منابع مشابه
Deformation quantization modules on complex symplectic manifolds
We study modules over the algebroid stack WX of deformation quantization on a complex symplectic manifold X and recall some results: construction of an algebra for ⋆-products, existence of (twisted) simple modules along smooth Lagrangian submanifolds, perversity of the complex of solutions for regular holonomic WX -modules, finiteness and duality for the composition of “good” kernels. As a coro...
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