论文标题
伯格伦德·赫布施米尔诺纤维的镜子对称性
Mirror symmetry for Berglund-Hübsch Milnor fibers
论文作者
论文摘要
我们解释了如何计算Berglund-Hübschible可逆多项式的Milnor纤维的Fukaya类别，主要证明了YankıLekili和Kazushi Ueda在同源镜对称性上的猜想。像往常一样，我们首先计算福卡亚类别的“非常活跃”。之后，我们将其变形，概括了大卫·纳德勒（David Nadler）的早期计算。我们计算的主要步骤可以理解为确定一个不正当的Schober的一定规范扩展。
We explain how to calculate the Fukaya category of the Milnor fiber of a Berglund-Hübsch invertible polynomial, mostly proving a conjecture of Yankı Lekili and Kazushi Ueda on homological mirror symmetry. As usual, we begin by calculating the "very affine" Fukaya category; afterwards, we deform it, generalizing an earlier calculation of David Nadler. The main step of our calculation may be understood as determining a certain canonical extension of a perverse schober.
