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Tropical Lagrangian Hypersurfaces are Unobstructed (1904.06005v2)
Published 12 Apr 2019 in math.SG and math.AG
Abstract: We produce for each tropical hypersurface $V(\phi)\subset Q=\mathbb{R}n$ a Lagrangian $L(\phi)\subset (\mathbb{C}*)n$ whose moment map projection is a tropical amoeba of $V(\phi)$. 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.
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