Microlocal perverse sheaves
Algebraic Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
We give an explicit construction of the stack of microlocal perverse sheaves on the projective cotangent bundle of a complex manifold. Microlocal perverse sheaves will be represented as complexes of analytic ind-sheaves which have recently been studied by Kashiwara-Schapira. This description allows us to formulate the microlocal Riemann-Hilbert correspondance in order to establish an equivalence of stacks with the stack of regular holonomic microdifferential modules.
Keywords
Cite
@article{arxiv.math/0209341,
title = {Microlocal perverse sheaves},
author = {Ingo Waschkies},
journal= {arXiv preprint arXiv:math/0209341},
year = {2007}
}
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72 pages