Distinguished bases in the wrapped Floer cohomology of tropical Lagrangian surfaces
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918081383628800 |
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| author | Chang, Jaewon |
| author_facet | Chang, Jaewon |
| contents | We introduce a new construction for tropical Lagrangian surfaces in $(\mathbb{C}^*)^2$. This construction makes the surfaces special Lagrangian, which gives a strong control over the asymptotic behavior of holomorphic disks near each cylindrical end. As a result, we find a distinguished basis of the wrapped Floer cohomology ring $HW^\bullet(L_f, L_f)$ for several different examples and find the corresponding distinguished bases of functions on the mirror curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02646 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Distinguished bases in the wrapped Floer cohomology of tropical Lagrangian surfaces Chang, Jaewon Symplectic Geometry 53D37, 53D40 We introduce a new construction for tropical Lagrangian surfaces in $(\mathbb{C}^*)^2$. This construction makes the surfaces special Lagrangian, which gives a strong control over the asymptotic behavior of holomorphic disks near each cylindrical end. As a result, we find a distinguished basis of the wrapped Floer cohomology ring $HW^\bullet(L_f, L_f)$ for several different examples and find the corresponding distinguished bases of functions on the mirror curves. |
| title | Distinguished bases in the wrapped Floer cohomology of tropical Lagrangian surfaces |
| topic | Symplectic Geometry 53D37, 53D40 |
| url | https://arxiv.org/abs/2507.02646 |