8 citations · 12 across the 8 of their papers we have counts for
6 papers · 1 filter
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…
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…