Coassociative submanifolds in Joyce's generalised Kummer constructions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866918104989171712 |
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| author | Gutwein, Dominik |
| author_facet | Gutwein, Dominik |
| contents | This article constructs coassociative submanifolds in $G_2$-manifolds arising from Joyce's generalised Kummer construction. The novelty compared to previous constructions is that these submanifolds all lie within the critical region of the $G_2$-manifold in which the metric degenerates. This forces the volume of the coassociatives to shrink to zero when the orbifold-limit is approached. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_05561 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Coassociative submanifolds in Joyce's generalised Kummer constructions Gutwein, Dominik Differential Geometry This article constructs coassociative submanifolds in $G_2$-manifolds arising from Joyce's generalised Kummer construction. The novelty compared to previous constructions is that these submanifolds all lie within the critical region of the $G_2$-manifold in which the metric degenerates. This forces the volume of the coassociatives to shrink to zero when the orbifold-limit is approached. |
| title | Coassociative submanifolds in Joyce's generalised Kummer constructions |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2305.05561 |