Lagrangian Klein bottles in $S^2 \times S^2$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929535601082368 |
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| author | Adaloglou, Nikolas Evans, Jonathan David |
| author_facet | Adaloglou, Nikolas Evans, Jonathan David |
| contents | We use Luttinger surgery to show that there are no Lagrangian Klein bottles in $S^2\times S^2$ in the $\mathbb{Z}_2$-homology class of an $S^2$-factor if the symplectic area of that factor is at least twice that of the other. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07782 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lagrangian Klein bottles in $S^2 \times S^2$ Adaloglou, Nikolas Evans, Jonathan David Symplectic Geometry Geometric Topology 53D12, 57K43 We use Luttinger surgery to show that there are no Lagrangian Klein bottles in $S^2\times S^2$ in the $\mathbb{Z}_2$-homology class of an $S^2$-factor if the symplectic area of that factor is at least twice that of the other. |
| title | Lagrangian Klein bottles in $S^2 \times S^2$ |
| topic | Symplectic Geometry Geometric Topology 53D12, 57K43 |
| url | https://arxiv.org/abs/2410.07782 |