Classifying affine structures with focus-focus singularities
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909077435580416 |
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| author | Tang, Xiudi |
| author_facet | Tang, Xiudi |
| contents | We study the singular affine structures of integrable systems with focus-focus singular fibers on the image of momentum maps. The classification of singular affine structures is equivalent to the classification of simple semitoric systems up to fiber-preserving symplectomorphisms but is not equivalent for semitoric systems with multiple pinched fibers and we give counterexamples for any number of more than one pinch on each fiber. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10881 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classifying affine structures with focus-focus singularities Tang, Xiudi Symplectic Geometry Differential Geometry 53D20 (Primary) 53A15 (Secondary) We study the singular affine structures of integrable systems with focus-focus singular fibers on the image of momentum maps. The classification of singular affine structures is equivalent to the classification of simple semitoric systems up to fiber-preserving symplectomorphisms but is not equivalent for semitoric systems with multiple pinched fibers and we give counterexamples for any number of more than one pinch on each fiber. |
| title | Classifying affine structures with focus-focus singularities |
| topic | Symplectic Geometry Differential Geometry 53D20 (Primary) 53A15 (Secondary) |
| url | https://arxiv.org/abs/2401.10881 |