Distinguished bases in the wrapped Floer cohomology of tropical Lagrangian surfaces
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(Lf, Lf) for several different examples and find the corresponding distinguished bases of functions on the mirror curves.
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