3 papers
math.AG2026
Family Floer SYZ mirror algorithm for the Grassmannian
Zekai Yu, Hang Yuan
We give an explicit non-archimedean SYZ construction for the Landau-Ginzburg mirror of . This work is complementary to the approach of Hong-Kim-Lau \cite{hong2023immersed}…
math.QA2026
Non-commutative calculus and Getzler-Gauss-Manin connections for Open-closed Homotopy Algebras
Zekai Yu
We establish the calculus structure on Hochschild invariants of open-closed homotopy algebras. We further define the Getzler-Gauss-Manin connection and show that it is flat up to c…
hep-th2025
On holographic duals of certain isolated weighted Gorenstein cDV singularities
Yuanyuan Fang, Zekai Yu
We employ a novel approach,based on homological mirror symmetry for Landau-Ginzburg models,to demonstrate the non-existence of crepant resolutions for certain weighted homogeneous…