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Tropical Lagrangian hypersurfaces are unobstructed
Journal of Topology  (IF1.582),  Pub Date : 2020-07-21, DOI: 10.1112/topo.12165
Jeffrey Hicks

We produce for each tropical hypersurface $V ( ϕ ) ⊂ Q = R n$ a Lagrangian $L ( ϕ ) ⊂ ( C ∗ ) n$ whose moment map projection is a tropical amoeba of $V ( ϕ )$. When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror.