The stability manifold of $E{\times} E{\times} E$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912067728965632 |
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| author | Haiden, Fabian Sung, Benjamin |
| author_facet | Haiden, Fabian Sung, Benjamin |
| contents | We determine a full component of the space of stability conditions on $D^b(E^3)$ where $E$ is an elliptic curve without complex multiplication. The component has complex dimension 14 and a very concrete description in terms of alternating trilinear forms. This confirms a conjecture of Kontsevich, motivated by homological mirror symmetry, in the case of dimension $3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08028 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The stability manifold of $E{\times} E{\times} E$ Haiden, Fabian Sung, Benjamin Algebraic Geometry High Energy Physics - Theory Symplectic Geometry We determine a full component of the space of stability conditions on $D^b(E^3)$ where $E$ is an elliptic curve without complex multiplication. The component has complex dimension 14 and a very concrete description in terms of alternating trilinear forms. This confirms a conjecture of Kontsevich, motivated by homological mirror symmetry, in the case of dimension $3$. |
| title | The stability manifold of $E{\times} E{\times} E$ |
| topic | Algebraic Geometry High Energy Physics - Theory Symplectic Geometry |
| url | https://arxiv.org/abs/2410.08028 |