Homological mirror symmetry for toric orbifolds of toric del Pezzo surfaces

被引：11

作者：

Ueda, Kazushi ^{[1
]}

Yamazaki, Masahito ^{[2
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan

[2] Univ Tokyo, Grad Sch Sci, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2013年 / 680卷

关键词：

DIMER MODELS; VANISHING CYCLES;

D O I：

10.1515/crelle.2012.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We formulate a conjecture which describes the Fukaya category of an exact Lefschetz fibration defined by a Laurent polynomial in two variables in terms of a pair consisting of a consistent dimer model and a perfect matching on it. We prove this conjecture in some cases, and obtain homological mirror symmetry for quotient stacks of toric del Pezzo surfaces by finite subgroups of the torus as a corollary.

引用

页码：1 / 22

页数：22

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