Homological mirror symmetry holds for Hirzebruch surface F_k via SYZ and Morse homotopy, extending the F_1 case.
Homological mirror symmetry of toric Fano surfaces via Morse homotopy
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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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math.SG 1years
2023 1verdicts
UNVERDICTED 1representative citing papers
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SYZ mirror of Hirzebruch surface $\mathbb{F}_k$ and Morse homotopy
Homological mirror symmetry holds for Hirzebruch surface F_k via SYZ and Morse homotopy, extending the F_1 case.