Kim, YoosikLee, JaehoSanda, Fumihiko2018-05-232018-05-23Y Kim, Jaeho Lee, Fumihiko Sanda. "Detecting Lagrangian toric fibers via tropicalizations."https://hdl.handle.net/2144/29005We 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 ([13]).Article