The stalk formula for multi-microlocal Hom functors and multi-microlocal Sato's triangle
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915039596773376 |
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| author | Sakamoto, Ryosuke |
| author_facet | Sakamoto, Ryosuke |
| contents | The concept of ``multi-microlocalization'' was introduced to extend the usual microlocal sheaf theory to a more general scope. This paper aims to further extend this theory by exploring advanced topics. One is a stalk formula for multi-microlocalized Hom functors and we compute some examples in multi-microlocal settings. Secondly we construct the Sato's triangle in the context of multi-microlocal analysis. Ultimately we get the Sato's triangle for the multi-microlocalized Hom functors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19095 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The stalk formula for multi-microlocal Hom functors and multi-microlocal Sato's triangle Sakamoto, Ryosuke Analysis of PDEs The concept of ``multi-microlocalization'' was introduced to extend the usual microlocal sheaf theory to a more general scope. This paper aims to further extend this theory by exploring advanced topics. One is a stalk formula for multi-microlocalized Hom functors and we compute some examples in multi-microlocal settings. Secondly we construct the Sato's triangle in the context of multi-microlocal analysis. Ultimately we get the Sato's triangle for the multi-microlocalized Hom functors. |
| title | The stalk formula for multi-microlocal Hom functors and multi-microlocal Sato's triangle |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2411.19095 |