Construction of symplectic flexible links
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913818440892416 |
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| author | Björklund, Johan Rizell, Georgios Dimitroglou |
| author_facet | Björklund, Johan Rizell, Georgios Dimitroglou |
| contents | We show that any smooth one-dimensional link in the real projective three-plane is the fixed-point locus of a smooth symplectic surface in the complex projective three-plane which is invariant under complex conjugation. The degree of the surface can be taken to be either one or two, depending on the homology class of the link. In other words, there are no obstructions to finding a symplectic representative of a flexible link beyond the classical topology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20966 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Construction of symplectic flexible links Björklund, Johan Rizell, Georgios Dimitroglou Symplectic Geometry Geometric Topology 14P25, 57M25, 57R17 We show that any smooth one-dimensional link in the real projective three-plane is the fixed-point locus of a smooth symplectic surface in the complex projective three-plane which is invariant under complex conjugation. The degree of the surface can be taken to be either one or two, depending on the homology class of the link. In other words, there are no obstructions to finding a symplectic representative of a flexible link beyond the classical topology. |
| title | Construction of symplectic flexible links |
| topic | Symplectic Geometry Geometric Topology 14P25, 57M25, 57R17 |
| url | https://arxiv.org/abs/2412.20966 |