Mirror symmetry for Berglund-Hübsch Milnor fibers

被引：1
作者：
Gammage, Benjamin [1 ]
机构：
[1] Harvard Univ, Dept Math, 1 Oxford St, Cambridge, MA 02138 USA
来源：
ADVANCES IN MATHEMATICS | 2024年 / 443卷
基金：
美国国家科学基金会;
关键词：
Mirror symmetry; Milnor fiber; Perverse schobers; CATEGORIES; CONSTRUCTION;
D O I：
10.1016/j.aim.2024.109563
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We explain how to calculate the Fukaya category of the Milnor fiber of a Berglund-Hubsch invertible polynomial, proving many cases of a conjecture of Yanki 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. (c) 2024 Elsevier Inc. All rights reserved.
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页数：45
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