论文标题
4个manifolds上还原的VAFA形式方程的变化
A variation of the reduced Vafa-Witten equations on 4-manifolds
论文作者
论文摘要
在本文中，我们考虑了在紧凑，定向和光滑的4个manifolds上的VAFA方程的变体，并构建一组扰动项以建立该方程式的横向性。新的扰动方程式为我们提供了解决方案的先验估计，而原始减少的VAFA方程没有。通过应用A先验估计，我们表明可以去除溶液的单数，然后构建模量空间的Ulhenbeck闭合。
In this paper we consider a variation of the Vafa-Witten equations on compact, oriented and smooth 4-manifolds, and construct a set of perturbation terms to establish the transversality of that equations. The new perturbed equations provide us a priori estimates of the solutions, while the original reduced Vafa-Witten equations does not. By applying the a priori estimates we show that the singular of the solutions can be removed, and then construct the Ulhenbeck closure of the moduli spaces.
