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Homological mirror symmetry of toric Fano surfaces via Morse homotopy (2303.07851v2)

Published 14 Mar 2023 in math.DG, math.AG, and math.SG

Abstract: Strominger-Yau-Zaslow (SYZ) proposed a way of constructing mirror pairs as pairs of torus fibrations. We apply this SYZ construction to toric Fano surfaces as complex manifolds, and discuss the homological mirror symmetry, where we consider Morse homotopy of the moment polytope instead of the Fukaya category.

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