Higher Genus FJRW Theory for Fermat Cubic Singularity  

作　　者：Xin WANG 

机构地区：[1]School of Mathematics,Shandong University,Jinan 250100,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2021年第8期1179-1204,共26页数学学报（英文版）

基　　金：Supported by National Science Foundation of China(Grant No.11601279);National Science Foundation of China(Grant No.12071255)。

摘　　要：In this paper,we study the higher genus FJRW theory of Fermat cubic singularity with maximal group of diagonal symmetries using Giventai formalism.As results,we prove the finite generation property and holomorphic anomaly equation for the associated FJRW theory.Via general LG-LG mirror theorem,our results also hold for the Saito-Givental theory of the Fermat cubic singularity.

关 键 词：FJRW theory Saito-Givental theroy mirror symmetry finite generation holomorphic anomaly equation 

分 类 号：O186.1[理学—数学]