Concave symplectic toric fillings
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908674722627584 |
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| author | Marinković, Aleksandra |
| author_facet | Marinković, Aleksandra |
| contents | As shown by Etnyre and Honda in [EH], every contact 3-manifold admits infinitely many concave symplectic fillings that are mutually not symplectomorphic and not related by blow ups. In this note we refine this result in the toric setting by showing that every contact toric 3-manifold admits infinitely many concave symplectic toric fillings that are mutually not equivariantly symplectomorphic and not related by blow ups. The concave symplectic toric structure is constructed on certain linear and cyclic plumbings over spheres. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03912 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Concave symplectic toric fillings Marinković, Aleksandra Symplectic Geometry As shown by Etnyre and Honda in [EH], every contact 3-manifold admits infinitely many concave symplectic fillings that are mutually not symplectomorphic and not related by blow ups. In this note we refine this result in the toric setting by showing that every contact toric 3-manifold admits infinitely many concave symplectic toric fillings that are mutually not equivariantly symplectomorphic and not related by blow ups. The concave symplectic toric structure is constructed on certain linear and cyclic plumbings over spheres. |
| title | Concave symplectic toric fillings |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2506.03912 |