Detecting non-displaceable toric fibers on compact toric manifolds via tropicalizations
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CitationY Kim, Jaeho Lee, Fumihiko Sanda. "Detecting Lagrangian toric fibers via tropicalizations."
We provide a combinatorial way to locate non-displaceable Lagrangian toric fibers on any compact toric manifold. By taking the intersection of certain tropicalizations coming from its moment polytope, one can detect all Lagrangian toric fibers having non-vanishing Floer cohomology ([15, 16]). The intersection completely characterizes all non-displaceable toric fibers in some cases including pseudo symmetric smooth Fano varieties ().