Tropical Lagrangian hypersurfaces are unobstructed

摘要

We produce for each tropical hypersurface V(phi)subset of Q=Rn a Lagrangian L(phi)subset of(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.