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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.01105 |
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| _version_ | 1866929299558236160 |
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| author | Chen, Guanheng |
| author_facet | Chen, Guanheng |
| contents | A prequantization bundle is a negative circle bundle over a symplectic surface together with a contact form induced by a S1-invariant connection. Given a symplectically aspherical symplectic filling of a prequantization bundle satisfying certain topological conditions, suppose that a version of symplectic capacity of the symplectic filling is finite. Then, we show that the symplectic filling is diffeomorphic to the associated disk bundle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01105 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On aspherical symplectic fillings with finite capacities of the prequantization bundles Chen, Guanheng Symplectic Geometry Geometric Topology A prequantization bundle is a negative circle bundle over a symplectic surface together with a contact form induced by a S1-invariant connection. Given a symplectically aspherical symplectic filling of a prequantization bundle satisfying certain topological conditions, suppose that a version of symplectic capacity of the symplectic filling is finite. Then, we show that the symplectic filling is diffeomorphic to the associated disk bundle. |
| title | On aspherical symplectic fillings with finite capacities of the prequantization bundles |
| topic | Symplectic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2404.01105 |