The logarithmic gauged linear sigma model
Algebraic Geometry
2021-08-09 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1906.04345,
title = {The logarithmic gauged linear sigma model},
author = {Qile Chen and Felix Janda and Yongbin Ruan},
journal= {arXiv preprint arXiv:1906.04345},
year = {2021}
}
Comments
Agrees with published version; 57 pages