English

A simple perturbation of Vafa-Witten equations and a transversality result

Differential Geometry 2025-05-22 v1 Mathematical Physics math.MP

Abstract

We consider a simple perturbation of the Vafa-Witten equations, and prove that for generic perturbation parameter, the full rank part of the perturbed Vafa-Witten moduli space satisfies transversality condition, when the structure group is SU(2)SU(2) or SO(3)SO(3).

Keywords

Cite

@article{arxiv.2505.14702,
  title  = {A simple perturbation of Vafa-Witten equations and a transversality result},
  author = {Bo Dai and Ren Guan},
  journal= {arXiv preprint arXiv:2505.14702},
  year   = {2025}
}