Sectorial covers over fanifolds
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917252686675968 |
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| author | Morimura, Hayato |
| author_facet | Morimura, Hayato |
| contents | For the stopped Weinstein sector associated with any fanifold recently introduced by Gammage--Shende, we construct a Weinstein sectorial cover which allows us to describe homological mirror symmetry over the fanifold as an isomorphism of cosheaves of categories. In a special case, our Weinstein sectorial cover gives a lift of the open cover for the global skeleton of a very affine hypersurface computed in their previous work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10084 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Sectorial covers over fanifolds Morimura, Hayato Symplectic Geometry For the stopped Weinstein sector associated with any fanifold recently introduced by Gammage--Shende, we construct a Weinstein sectorial cover which allows us to describe homological mirror symmetry over the fanifold as an isomorphism of cosheaves of categories. In a special case, our Weinstein sectorial cover gives a lift of the open cover for the global skeleton of a very affine hypersurface computed in their previous work. |
| title | Sectorial covers over fanifolds |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2310.10084 |