We refine and prove the central conjecture of our first paper for annuli with at least two marked intervals on each boundary component by computing the derived Hall algebras of their Fukaya categories.

中文翻译：

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圆环的霍尔代数

通过计算派生的Fukaya类别的Hall代数，我们细化并证明了我们第一篇论文的中心猜想，在每个边界分量上都有至少两个明显的间隔。