通过余截面局部化虚拟基本类
代数几何
2010-08-10 v2
摘要
我们证明，完美障碍理论的障碍层的一个余截面将虚拟基本类局部化到该余截面的非满射轨迹上。我们给出了局部化Gysin映射和局部化虚拟基本类的代数构造。讨论了这些构造的各种应用。
引用
@article{arxiv.1007.3085,
title = {Localizing Virtual Cycles by Cosections},
author = {Young-Hoon Kiem and Jun Li},
journal= {arXiv preprint arXiv:1007.3085},
year = {2010}
}
备注
This paper replaces the first half of our previous manuscript entitled "Gromov-Witten invariants of varieties with holomorphic 2-forms", arXiv:0707.2986, in which we used an analytic definition of localized Gysin maps and localized virtual cycles. Our new algebraic constructions make it possible to directly apply many developed techniques in algebraic geometry