Homological mirror symmetry for Brieskorn–Pham singularities

被引：0

作者：

Masahiro Futaki

Kazushi Ueda

机构：

[1] The University of Tokyo,Graduate School of Mathematical Sciences

[2] Osaka University,Department of Mathematics, Graduate School of Science

来源：

Selecta Mathematica | 2011年 / 17卷

关键词：

Homological mirror symmetry; Brieskorn–Pham singularity; Primary 53D37; Secondary 16G50;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that the derived Fukaya category of the Lefschetz fibration defined by a Brieskorn–Pham polynomial is equivalent to the triangulated category of singularities associated with the same polynomial together with a grading by an abelian group of rank one. Symplectic Picard-Lefschetz theory developed by Seidel is an essential ingredient of the proof.

引用

页码：435 / 452

页数：17

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