Збережено в:
| Автор: | |
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| Формат: | Preprint |
| Опубліковано: |
2020
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| Предмети: | |
| Онлайн доступ: | https://arxiv.org/abs/2012.09764 |
| Теги: |
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Зміст:
- We consider a definition of the Fukaya category of a singular hypersurface proposed by Auroux, given by localizing the Fukaya category of a nearby fiber at Seidel's natural transformation, and show that this possesses several desirable properties. Firstly, we prove an A-side analog of Orlov's derived Knörrer periodicity theorem by showing that Auroux's category is derived equivalent to the Fukaya-Seidel category of a higher-dimensional Landau-Ginzburg model. Secondly, we describe how this definition implies homological mirror symmetry for some large complex structure limit degenerations of abelian varieties.