Special Lagrangian submanifolds in K3-fibered Calabi-Yau 3-folds
| Autor: | Chiu, Shih-Kai, Lin, Yu-Shen |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We construct special Lagrangian submanifolds in collapsing Calabi-Yau 3-folds fibered by K3 surfaces. As these 3-folds collapse, the special Lagrangians shrink to 1-dimensional graphs in the base, mirroring the conjectured tropicalization of holomorphic curves in collapsing SYZ torus-fibered Calabi-Yau manifolds. This confirms predictions of Donaldson and Donaldson-Scaduto in the Calabi-Yau setting. Additionally, we discuss our results in the contexts of the Thomas-Yau conjecture, the Donaldson-Scaduto conjecture, and mirror symmetry. Comment: 71 pages |
| Databáze: | arXiv |
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