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

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arxiv 2505.14702 v1 pith:X75XDJXD submitted 2025-05-13 math.DG math-phmath.MP

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

classification math.DG math-phmath.MP
keywords perturbationvafa-wittenequationssimpletransversalityconditionconsiderfull
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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 $SU(2)$ or $SO(3)$.

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