Example 4.4 . [04D5]
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Example 4.4.
Consider any compact Lagrangian inside the unit ball of . By an easy maximum principle argument, during the flow remains inside the shrinking ball , so must develop a finite time singularity at some . From the Floer theoretic perspective, since such Lagrangians can always be displaced off itself by the Hamiltonian isotopy corresponding to translations in , its Floer cohomology is either obstructed or zero. As such, a compact Lagrangian supported in a small coordinate ball is invisible to the derived Fukaya category. From a different perspective, since such Lagrangians have zero homology class, they are excluded in the almost calibrated case.