Distinguished bases in the wrapped Floer cohomology of tropical Lagrangian surfaces

2025/07/03 by Chang, Jaewon
#53D37 #53D40 #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2507.02646

Abstract

We introduce a new construction for tropical Lagrangian surfaces in (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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