$G_2$-instantons on the spinor bundle of the 3-sphere
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914734806138880 |
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| author | Stein, Jakob Turner, Matt |
| author_facet | Stein, Jakob Turner, Matt |
| contents | We classify $G_2$-instantons admitting $SU(2)^3$-symmetries, and construct a new family of examples on the spinor bundle of the 3-sphere, equipped with the asymptotically conical, co-homogeneity one $G_2$-metric of Bryant-Salamon. We also show that, outside of the $SU(2)^3$-invariant examples, any other $G_2$-instanton on this metric with the same asymptotic behaviour must have obstructed deformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_07967 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $G_2$-instantons on the spinor bundle of the 3-sphere Stein, Jakob Turner, Matt Differential Geometry 53C07, 53C25 We classify $G_2$-instantons admitting $SU(2)^3$-symmetries, and construct a new family of examples on the spinor bundle of the 3-sphere, equipped with the asymptotically conical, co-homogeneity one $G_2$-metric of Bryant-Salamon. We also show that, outside of the $SU(2)^3$-invariant examples, any other $G_2$-instanton on this metric with the same asymptotic behaviour must have obstructed deformations. |
| title | $G_2$-instantons on the spinor bundle of the 3-sphere |
| topic | Differential Geometry 53C07, 53C25 |
| url | https://arxiv.org/abs/2303.07967 |