A simple perturbation of Vafa-Witten equations and a transversality result
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915295494406144 |
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| author | Dai, Bo Guan, Ren |
| author_facet | Dai, Bo Guan, Ren |
| contents | 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 $SO(3)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14702 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A simple perturbation of Vafa-Witten equations and a transversality result Dai, Bo Guan, Ren Differential Geometry Mathematical Physics 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 $SO(3)$. |
| title | A simple perturbation of Vafa-Witten equations and a transversality result |
| topic | Differential Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2505.14702 |