Detecting non-displaceable toric fibers on compact toric manifolds via tropicalizations
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First author draft
Date
DOI
Authors
Kim, Yoosik
Lee, Jaeho
Sanda, Fumihiko
Version
OA Version
Citation
Y Kim, Jaeho Lee, Fumihiko Sanda. "Detecting Lagrangian toric fibers via tropicalizations."
Abstract
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 ([13]).