2 citations · 2 across the 2 of their papers we have counts for
2 papers
math.SG2026
Multi-valued Morse homotopy for the SYZ mirror of the complex projective plane
Hayato Nakanishi, Yat-Hin Suen
We propose a definition of the category of multi-valued Morse homotopy on consisting of multi-valued functions associated to Lagrangian multi-s…
math.DG2026★ 2 cited
Homological mirror symmetry of toric Fano surfaces via Morse homotopy
Hayato Nakanishi
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, an…