Analysis and geometry of Floer theory of Landau-Ginzburg model on C^n  

作　　者：Wenfeng JIANG 

机构地区：[1]Department of Mathematics, Nanjing University, Nanjing 210093, China

出　　处：《Frontiers of Mathematics in China》2016年第6期1569-1602,共34页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements The author would like to thank his advisor, Gang Tian, for his great help and long-lasting support to carry on this research. Many thanks to Huijun Fan and Yongbin Ruan for sharing many of their insights into the study of Floer theory of LG model. Many thanks to Yong-Guen Oh for rich knowledge of Floer theory of Lagrangian intersection as well as his suggestions. Thanks also goes to Yefeng Shen, Yalong Shi, Dongning Wang, and Ke Zhu for helpful discussion. This work was partially supported by the National Natural Science Foundation of China （Grant No. 11171143）.

摘　　要：This article studies the Floer theory of Landau-Ginzburg （LG） model on C^n. We perturb the Kahler form within a fixed Kahler class to guarantee the transversal intersection of Lefschetz thimbles. The C^0 estimate for solutions of the LG Floer equation can be derived then by our analysis tools. The Fredholm property is guaranteed by all these results.This article studies the Floer theory of Landau-Ginzburg （LG） model on C^n. We perturb the Kahler form within a fixed Kahler class to guarantee the transversal intersection of Lefschetz thimbles. The C^0 estimate for solutions of the LG Floer equation can be derived then by our analysis tools. The Fredholm property is guaranteed by all these results.

关 键 词：Symplectic geometry Floer theory Landau-Ginzburg （LG） model 

分 类 号：T[一般工业技术]