Non-linear microlocal cut-off functors
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910788414865408 |
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| author | Zhang, Bingyu |
| author_facet | Zhang, Bingyu |
| contents | To any conic closed set of a cotangent bundle, one can associate four functors on the category of sheaves, which are called non-linear microlocal cut-off functors. Here we explain their relation with the microlocal cut-off functor defined by Kashiwara and Schapira, and prove a microlocal cut-off lemma for non-linear microlocal cut-off functors, adapting inputs from symplectic geometry. We also prove two Künneth formulas and a functor classification result for categories of sheaves with microsupport conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02725 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-linear microlocal cut-off functors Zhang, Bingyu Symplectic Geometry Algebraic Geometry Algebraic Topology Category Theory To any conic closed set of a cotangent bundle, one can associate four functors on the category of sheaves, which are called non-linear microlocal cut-off functors. Here we explain their relation with the microlocal cut-off functor defined by Kashiwara and Schapira, and prove a microlocal cut-off lemma for non-linear microlocal cut-off functors, adapting inputs from symplectic geometry. We also prove two Künneth formulas and a functor classification result for categories of sheaves with microsupport conditions. |
| title | Non-linear microlocal cut-off functors |
| topic | Symplectic Geometry Algebraic Geometry Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2406.02725 |