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

页码：723 / 743

页数：21

共 13 条

[1] HOMOLOGICAL MIRROR SYMMETRY FOR THE 4-TORUS [J].