A variation of the reduced Vafa-Witten equations on 4-manifolds
Differential Geometry
2022-08-15 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2208.06131,
title = {A variation of the reduced Vafa-Witten equations on 4-manifolds},
author = {Ren Guan},
journal= {arXiv preprint arXiv:2208.06131},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2207.03701