Definition 3.32 . [04BU]
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Definition 3.32.
Let be an almost calibrated exact Lagrangian brane representing a class in the (suitably enlarged) derived Fukaya category. Suppose for any almost calibrated exact Lagrangian objects fitting into a distinguished triangle , we always have
then we say is Thomas-Yau semistable (resp. strictly stable). If fails to be Thomas-Yau semistable, we say it is Thomas-Yau unstable.