具有简单奇点的Milnor纤维的同调镜像对称

arXiv: Algebraic Geometry Pub Date : 2020-04-15 DOI:10.14231/AG-2021-017

Yankı Lekili, K. Ueda

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引用次数: 21

摘要

我们证明了在arXiv:1806.04345猜想1.5的log Fano情形中具有简单奇点的Milnor纤维的同调镜像对称。证明是基于矩阵分解和Calabi—Yau补全之间的关系。作为一个应用，我们给出了全维单奇点Milnor纤维的辛上同群的显式计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Homological mirror symmetry for Milnor fibers of simple singularities

We prove homological mirror symmetry for Milnor fibers of simple singularities, 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 symplectic cohomology group of the Milnor fiber of a simple singularity in all dimensions.

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arXiv: Algebraic Geometry

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