We generalize the results of Chang–Li, Kim–Oh and Chang–Li on the moduli of p-fields to the setting of (quasi-)maps to complete intersections in arbitrary smooth Deligne–Mumford stacks with projective coarse moduli. In particular, we show that the virtual cycle of stable (quasi-)maps to a complete intersection can be recovered by the cosection localized virtual cycle of the moduli of p-fields of the ambient space.

中文翻译：

---

具有字段的稳定（准）映射的虚拟循环

我们将关于p场模量的Chang-Li，Kim-Oh和Chang-Li的结果推广到（准）图的设置，以完成具有投影粗模量的任意光滑Deligne-Mumford堆栈中的交集。特别地，我们表明，可以通过环境空间的p场模的截面局部虚拟循环来恢复到完整交叉点的稳定（准）映射的虚拟循环。