A variation of the reduced Vafa-Witten equations on 4-manifolds

Ren Guan

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arXiv · 2208.06131

A variation of the reduced Vafa-Witten equations on 4-manifolds

Ren Guan

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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.

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Ren Guan. 2022-08-12. A variation of the reduced Vafa-Witten equations on 4-manifolds. https://arxiv.org/abs/2208.06131

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