In this paper, we give a proof of homological mirror symmetry for two variable invertible polynomials, where the symmetry group on the B-side is taken to be maximal. The proof involves an explicit gluing construction of the Milnor fibres, and, as an application, we prove derived equivalences between certain nodal stacky curves, some of whose irreducible components have non-trivial generic stabiliser.

中文翻译：

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两变量可逆多项式的同调镜像对称

在本文中，我们给出了两个可变可逆多项式的同调镜像对称性的证明，其中 B 侧的对称群被认为是最大的。证明涉及 Milnor 纤维的显式粘合构造，并且作为应用，我们证明了某些节点堆叠曲线之间的派生等价性，其中一些不可约分量具有非平凡的通用稳定器。