Deformations of Clarke-Oliveira's Instantons on Bryant-Salamon $Spin(7)$-Manifold
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912321459191808 |
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| author | Ghosh, Tathagata |
| author_facet | Ghosh, Tathagata |
| contents | In this paper we compute the deformations of Clarke-Oliveira's instantons on the Bryant-Salamon $Spin(7)$-Manifold. The Bryant-Salamon $Spin(7)$-Manifold -- the negative spinor bundle of $S^4$ -- is an asymptotically conical manifold where the link is the squashed $7$-sphere. We use the deformation theory developed by the author in a previous paper to calculate the deformations of Clarke-Oliveira's instantons and calculate the virtual dimensions of the moduli spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_08723 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deformations of Clarke-Oliveira's Instantons on Bryant-Salamon $Spin(7)$-Manifold Ghosh, Tathagata Differential Geometry High Energy Physics - Theory Mathematical Physics 53C07 In this paper we compute the deformations of Clarke-Oliveira's instantons on the Bryant-Salamon $Spin(7)$-Manifold. The Bryant-Salamon $Spin(7)$-Manifold -- the negative spinor bundle of $S^4$ -- is an asymptotically conical manifold where the link is the squashed $7$-sphere. We use the deformation theory developed by the author in a previous paper to calculate the deformations of Clarke-Oliveira's instantons and calculate the virtual dimensions of the moduli spaces. |
| title | Deformations of Clarke-Oliveira's Instantons on Bryant-Salamon $Spin(7)$-Manifold |
| topic | Differential Geometry High Energy Physics - Theory Mathematical Physics 53C07 |
| url | https://arxiv.org/abs/2504.08723 |