The microlocal Riemann-Hilbert correspondence for complex contact manifolds
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909577389277184 |
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| author | Côté, Laurent Kuo, Christopher Nadler, David Shende, Vivek |
| author_facet | Côté, Laurent Kuo, Christopher Nadler, David Shende, Vivek |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16222 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The microlocal Riemann-Hilbert correspondence for complex contact manifolds Côté, Laurent Kuo, Christopher Nadler, David Shende, Vivek Symplectic Geometry Algebraic Geometry Representation Theory 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. |
| title | The microlocal Riemann-Hilbert correspondence for complex contact manifolds |
| topic | Symplectic Geometry Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2406.16222 |