论文标题
简单奇异性的Milnor纤维的同源镜对称性
Homological mirror symmetry for Milnor fibers of simple singularities
论文作者
论文摘要
我们证明了大于1的简单奇异性的Milnor纤维的同源镜子对称性，这是Arxiv中的猜想1.5的log Fano案例之一：1806.04345。证明是基于矩阵因素化与calabi-yau完成之间的关系。作为一个应用程序，我们为任何$ n \ geq 1 $的衍生的$ n $ n $ proprojective代数的Hochschild共同体组提供了明确的计算。
We prove homological mirror symmetry for Milnor fibers of simple singularities in dimensions greater than one, which are among the log Fano cases of Conjecture 1.5 in arXiv:1806.04345. The proof is based on a relation between matrix factorizations and Calabi--Yau completions. As an application, we give an explicit computation of the Hochschild cohomology group of the derived $n$-preprojective algebra of a Dynkin quiver for any $n \geq 1$, and the symplectic cohomology group of the Milnor fiber of any simple singularity in any dimension greater than one.
