The logarithmic gauged linear sigma model
成果类型：
Article
署名作者：
Chen, Qile; Janda, Felix; Ruan, Yongbin
署名单位：
Boston College; University of Notre Dame; Zhejiang University
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-021-01044-2
发表日期：
2021
页码：
1077-1154
关键词：
摘要：
We introduce the notion of log R-maps, and develop a proper moduli stack of stable log R-maps in the case of a hybrid gauged linear sigma model. Two virtual cycles (canonical and reduced) are constructed for these moduli stacks. The main results are two comparison theorems relating the reduced virtual cycle to the cosection localized virtual cycle, as well as the reduced virtual cycle to the canonical virtual cycle. This sets the foundation of a new technique for computing higher genus Gromov-Witten invariants of complete intersections.