Cohomological lifting of multi-toric graphs
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909436153430016 |
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| author | Dixon, Kael Madsen, Thomas Bruun Swann, Andrew |
| author_facet | Dixon, Kael Madsen, Thomas Bruun Swann, Andrew |
| contents | We study $G_{2}$-manifolds obtained from circle bundles over symplectic $SU(3)$-manifolds with $T^{2}$-symmetry. When the geometry is multi-Hamiltonian, we show how the compact part of the resulting multi-moment graph for the $G_{2}$-structure may obtained cohomologically from the base. The lifting procedure is illustrated in the context of toric geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15769 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohomological lifting of multi-toric graphs Dixon, Kael Madsen, Thomas Bruun Swann, Andrew Differential Geometry 53C25 (Primary) 14M25, 53C26, 53C29, 53D20 (Secondary) We study $G_{2}$-manifolds obtained from circle bundles over symplectic $SU(3)$-manifolds with $T^{2}$-symmetry. When the geometry is multi-Hamiltonian, we show how the compact part of the resulting multi-moment graph for the $G_{2}$-structure may obtained cohomologically from the base. The lifting procedure is illustrated in the context of toric geometry. |
| title | Cohomological lifting of multi-toric graphs |
| topic | Differential Geometry 53C25 (Primary) 14M25, 53C26, 53C29, 53D20 (Secondary) |
| url | https://arxiv.org/abs/2412.15769 |