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arXiv · 2303.07851

Homological mirror symmetry of toric Fano surfaces via Morse homotopy

Hayato Nakanishi
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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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Hayato Nakanishi. 2026-05-22. Homological mirror symmetry of toric Fano surfaces via Morse homotopy. https://doi.org/10.1063/5.0168792

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