Poisson manifolds of strong compact type over 2-tori
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arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866912070250790912 |
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| author | Zwaan, Luka |
| author_facet | Zwaan, Luka |
| contents | In arXiv1312.7267, the first non-trivial example of a Poisson manifold of strong compact type is given. The construction uses the theory of K3 surfaces and results in a Poisson manifold with leaf space $S^1$. We modify the construction to obtain a new class of examples. Specifically, we obtain for each strongly integral affine 2-torus a Poisson manifold of strong compact type with said torus as leaf space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_04157 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Poisson manifolds of strong compact type over 2-tori Zwaan, Luka Differential Geometry Symplectic Geometry 53D17 In arXiv1312.7267, the first non-trivial example of a Poisson manifold of strong compact type is given. The construction uses the theory of K3 surfaces and results in a Poisson manifold with leaf space $S^1$. We modify the construction to obtain a new class of examples. Specifically, we obtain for each strongly integral affine 2-torus a Poisson manifold of strong compact type with said torus as leaf space. |
| title | Poisson manifolds of strong compact type over 2-tori |
| topic | Differential Geometry Symplectic Geometry 53D17 |
| url | https://arxiv.org/abs/2103.04157 |