8 citations · 12 across the 8 of their papers we have counts for
9 papers
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}…
Existence of pseudo-holomorphic disks via non-archimedean disk potentials
Hang Yuan
We show that if a graded monotone Lagrangian has a non-vanishing disk potential, then for every smooth isotopy of Lagrangians starting from it and for e…
Higher operad structure for Fukaya categories
Hang Yuan
Operads often arise from geometry. The standard operad can be derived from the cellular chains on the Stasheff associahedra, and an algebra is an algebra over…
Family Floer SYZ conjecture for singularity
Hang Yuan
We resolve a mathematically precise SYZ conjecture for singularity by building a quantum-corrected T-duality between two singular torus fibrations related to the Kähler geome…
Family Floer SYZ singularities for the conifold transition
Hang Yuan
We show a mathematically precise version of the SYZ conjecture, proposed in the family Floer context, for the conifold with a conjectural mirror relation between smoothing and crep…
Family Floer mirror space for local SYZ singularities
Hang Yuan
We give a mathematically precise statement of the SYZ conjecture between mirror space pairs and prove it for any toric Calabi-Yau manifold with the Gross Lagrangian fibration. To d…
Family Floer superpotential's critical values are eigenvalues of quantum product by
Hang Yuan
In the setting of the non-archimedean SYZ mirror construction (arXiv:2003.06106), we prove the folklore conjecture that the critical values of the mirror superpotential are the eig…
Disk counting and wall-crossing phenomenon via family Floer theory
Hang Yuan
We use the wall-crossing formula in the non-archimedean SYZ mirror construction (arXiv: 2003.06106) to compute the Landau-Ginzburg superpotential and the one-pointed open Gromov-Wi…
Family Floer program and non-archimedean SYZ mirror construction
Hang Yuan
Given a Lagrangian fibration, we provide a natural construction of a mirror Landau-Ginzburg model consisting of a rigid analytic space, a superpotential function, and a dual fibrat…