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arXiv · 2507.02646

Distinguished bases in the wrapped Floer cohomology of tropical Lagrangian surfaces

Jaewon Chang
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Abstract

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.

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Jaewon Chang. 2025-07-03. Distinguished bases in the wrapped Floer cohomology of tropical Lagrangian surfaces. https://arxiv.org/abs/2507.02646

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