For mirrors of toric weak Fano manifolds, a Lagrangian section is Hamiltonian isotopic to a special Lagrangian if and only if certain phase/slope inequalities hold, proving a toric form of Thomas-Yau.
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Nakai-Moishezon criteria and the toric Thomas-Yau conjecture
For mirrors of toric weak Fano manifolds, a Lagrangian section is Hamiltonian isotopic to a special Lagrangian if and only if certain phase/slope inequalities hold, proving a toric form of Thomas-Yau.