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We show that blow-ups or reverse flips (in the sense of the minimal model program) of rational symplectic manifolds with point centers create Floer-non-trivial Lagrangian tori. These results are part of a conjectural decomposition of the Fukaya category of a compact symplectic manifold with a singularity-free running of the minimal model program, analogous to the description of Bondal-Orlov ( Derived categories of coherent sheaves , 2002) and Kawamata ( Derived categories of toric varieties , 2006) of the bounded derived category of coherent sheaves on a compact complex manifold.more » « less
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