Homological mirror symmetry of toric Fano surfaces via Morse homotopy
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911705537183744 |
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| author | Nakanishi, Hayato |
| author_facet | Nakanishi, Hayato |
| contents | Strominger-Yau-Zaslow (SYZ) proposed a way of constructing mirror pairs as pairs of torus fibrations. We apply this SYZ construction to toric Fano surfaces as complex manifolds, and discuss the homological mirror symmetry, where we consider Morse homotopy of the moment polytope instead of the Fukaya category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_07851 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Homological mirror symmetry of toric Fano surfaces via Morse homotopy Nakanishi, Hayato Differential Geometry Algebraic Geometry Symplectic Geometry Strominger-Yau-Zaslow (SYZ) proposed a way of constructing mirror pairs as pairs of torus fibrations. We apply this SYZ construction to toric Fano surfaces as complex manifolds, and discuss the homological mirror symmetry, where we consider Morse homotopy of the moment polytope instead of the Fukaya category. |
| title | Homological mirror symmetry of toric Fano surfaces via Morse homotopy |
| topic | Differential Geometry Algebraic Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2303.07851 |