$\mathrm{G}_2$-instantons on the 7-sphere
| Autor: | Waldron, Alex |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Jour. London Math. Soc. 106(4), 3711-3745 (2022) |
| Druh dokumentu: | Working Paper |
| Popis: | We study the deformation theory of $\mathrm{G}_2$-instantons on the 7-sphere, specifically those obtained from instantons on the 4-sphere via the quaternionic Hopf fibration. We find that the pullback of the standard ASD instanton lies in a smooth, complete, 15-dimensional family of $\mathrm{G}_2$-instantons. In general, the space of infinitesimal $\mathrm{G}_2$-instanton deformations on $S^7$ is identified with three copies of the space of ASD deformations on $S^4.$ Comment: Final version, appeared in JLMS |
| Databáze: | arXiv |
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