Moduli spaces of (co)closed $\mathrm{G}_2$-structures on nilmanifolds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866915213384613888 |
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| author | Bazzoni, Giovanni Gil-García, Alejandro |
| author_facet | Bazzoni, Giovanni Gil-García, Alejandro |
| contents | We compute the dimensions of some moduli spaces of left-invariant closed and coclosed $\mathrm{G}_2$-structures on 7-dimensional nilmanifolds, showing that they are not related to the third Betti number. We also prove that, in contrast to the case of closed $\mathrm{G}_2$-structures, the group of automorphisms of a coclosed $\mathrm{G}_2$-structure is not necessarily abelian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_04732 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Moduli spaces of (co)closed $\mathrm{G}_2$-structures on nilmanifolds Bazzoni, Giovanni Gil-García, Alejandro Differential Geometry 53C10, 22E25, 53C38, 58D27 We compute the dimensions of some moduli spaces of left-invariant closed and coclosed $\mathrm{G}_2$-structures on 7-dimensional nilmanifolds, showing that they are not related to the third Betti number. We also prove that, in contrast to the case of closed $\mathrm{G}_2$-structures, the group of automorphisms of a coclosed $\mathrm{G}_2$-structure is not necessarily abelian. |
| title | Moduli spaces of (co)closed $\mathrm{G}_2$-structures on nilmanifolds |
| topic | Differential Geometry 53C10, 22E25, 53C38, 58D27 |
| url | https://arxiv.org/abs/2307.04732 |