论文标题
在4个manifolds上扰动的减少VAFA的模量空间的横向性
Transversality of the perturbed reduced Vafa-Witten moduli spaces on 4-manifolds
论文作者
论文摘要
以前，我们完成了VAFA-Witten模量空间一般部分的横向，在本文中，我们处理其余部分，即减少的部分。我们考虑使用$ c \ equiv0 $的封闭，定向和光滑的Riemann 4-manifolds上的VAFA和平滑方程，并构建扰动以建立扰动方程的横向性。然后，我们表明，对于扰动项的一般选择，对于结构组$ su（2）$（2）$（2）$（2）$（2）$（2）$（3）$（3）$（3）$（3）$（3）$（3）$的模量空间是零尺寸的平滑歧视。
Previously we finish the establishment of the transversality of the general part of the Vafa-Witten moduli spaces, in this paper, we deal with the rest, i.e., the reduced part. We consider Vafa-Witten equation on closed, oriented and smooth Riemann 4-manifolds with $C\equiv0$, and construct perturbation to establish the transversality of the perturbed equation. Then we show that for a generic choice of the perturbation terms, the moduli space of solutions to the perturbed reduced Vafa-Witten equation for the structure group $SU(2)$ or $SO(3)$ on a closed 4-manifold is a smooth manifold of dimension zero.
