Noncommutative homological mirror symmetry of elliptic curves

被引：0
|
作者：
Lee, Sangwook [1 ]
机构：
[1] Korea Inst Adv Study, Sch Math, Seoul, South Korea
来源：
KYOTO JOURNAL OF MATHEMATICS | 2021年 / 61卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
CATEGORIES;
D O I：
10.1215/21562261-2020-0001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove an equivalence of two A(infinity)-functors, via Orlov'sLandau-Ginzburg/ Calabi-Yau (LG/CY) correspondence. One is the Polishchuk-Zaslowmirror symmetry functor of elliptic curves, and the other is a localized mirror functor from the Fukaya category of T-2 to a category of noncommutative matrix factorizations. As a corollary, we prove that the noncommutative mirror functor LMgrLt realizes homological mirror symmetry for any t.
引用
收藏
页码：723 / 743
页数：21
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