The microlocal Riemann-Hilbert correspondence for complex contact manifolds
Symplectic Geometry
2025-04-15 v2 Algebraic Geometry
Representation Theory
Abstract
Kashiwara showed in 1996 that the categories of microlocalized D-modules can be canonically glued to give a sheaf of categories over a complex contact manifold. Much more recently, and by rather different considerations, we constructed a canonical notion of perverse microsheaves on the same class of spaces. Here we provide a Riemann-Hilbert correspondence.
Keywords
Cite
@article{arxiv.2406.16222,
title = {The microlocal Riemann-Hilbert correspondence for complex contact manifolds},
author = {Laurent Côté and Christopher Kuo and David Nadler and Vivek Shende},
journal= {arXiv preprint arXiv:2406.16222},
year = {2025}
}
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67 pages