Uniqueness in the local Donaldson-Scaduto conjecture
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912539456045056 |
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| author | Bera, Gorapada Esfahani, Saman Habibi Li, Yang |
| author_facet | Bera, Gorapada Esfahani, Saman Habibi Li, Yang |
| contents | The local Donaldson-Scaduto conjecture predicts the existence and uniqueness of a special Lagrangian pair of pants with three asymptotically cylindrical ends in the Calabi-Yau 3-fold $X \times \mathbb{R}^2$, where $X$ is an ALE hyperkähler 4-manifold of $A_2$-type. The existence of this special Lagrangian has previously been proved. In this paper, we prove a uniqueness theorem, showing that no other special Lagrangian pair of pants satisfies this conjecture. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_19219 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniqueness in the local Donaldson-Scaduto conjecture Bera, Gorapada Esfahani, Saman Habibi Li, Yang Differential Geometry Analysis of PDEs Symplectic Geometry The local Donaldson-Scaduto conjecture predicts the existence and uniqueness of a special Lagrangian pair of pants with three asymptotically cylindrical ends in the Calabi-Yau 3-fold $X \times \mathbb{R}^2$, where $X$ is an ALE hyperkähler 4-manifold of $A_2$-type. The existence of this special Lagrangian has previously been proved. In this paper, we prove a uniqueness theorem, showing that no other special Lagrangian pair of pants satisfies this conjecture. |
| title | Uniqueness in the local Donaldson-Scaduto conjecture |
| topic | Differential Geometry Analysis of PDEs Symplectic Geometry |
| url | https://arxiv.org/abs/2412.19219 |