Abstract

We construct pseudotoric structures (à la Tyurin, 2010) on the two-step flag variety Fℓ1,n−1;n, and explain a general relation between pseudotoric structures and special Lagrangian torus fibrations, the latter of which are important in the study of SYZ mirror symmetry (Strominger et al., 1996). As an application, we speculate how our constructions can explain the number of terms in the superpotential of Rietsch’s Landau–Ginzburg mirror (Rietsch, 2008; Marsh and Rietsch; Pech and Rietsch, 2018; Pech et al., 2016).

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