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The stack of microlocal perverse sheaves. (English) Zbl 1112.32015
Summary: We construct the abelian stack of microlocal perverse sheaves on the projective cotangent bundle of a complex manifold. Following ideas of Andronikof we first consider microlocal perverse sheaves at a point using classical tools from microlocal sheaf theory. Then we will use Kashiwara-Schapira’s theory of analytic ind-sheaves to globalize our construction. This presentation allows us to formulate explicitly a global microlocal Riemann-Hilbert correspondence.

##### MSC:
 32S60 Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) 18D05 Double categories, $$2$$-categories, bicategories and generalizations (MSC2010)
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