仿射涡旋模空间的局部模型
辛几何
2016-12-26 v2
摘要
我们证明了正则仿射涡旋（即复平面上辛涡旋方程的解）的模空间具有光滑流形的结构。该构造使用了Ziltener的Fredholm理论结果[31]。我们还将该结果推广到上半平面上的仿射涡旋情形。这些结果是定义Woodward[24]提出的“开放量子Kirwan映射”的必要组成部分。
引用
@article{arxiv.1512.06713,
title = {Local model for the moduli space of affine vortices},
author = {Sushmita Venugopalan and Guangbo Xu},
journal= {arXiv preprint arXiv:1512.06713},
year = {2016}
}
备注
51 pages, 1 figure. This is the submitted version which is reconstructed from the previous one. We include the analogous results for affine vortices over the upper half plane in the appendix