The logarithmic gauged linear sigma model
The logarithmic gauged linear sigma model
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DOI：
10.1007/s00222-021-01044-2
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发表时间：
2019-06
影响因子：
3.1
通讯作者：
Qile Chen;F. Janda;Y. Ruan
中科院分区：
文献类型：
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作者：
Qile Chen;F. Janda;Y. Ruan
我们引入了对数映射的概念，并在混合规范线性Sigma模型的情况下，给出了稳定的对数映射的适当模堆叠。为这些模堆栈构造了两个虚环(典范和约化)。主要结果是将约化虚圈与余割局域虚圈以及约化虚圈与正则虚圈联系起来的两个比较定理。这为计算完全交的高亏格Gromov-Witten不变量奠定了基础。
We introduce the notion of logR-maps, and develop a proper moduli stack of stable logR-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.