3 papers
math.DG2025
From tropical curves to special Lagrangians
Shih-Kai Chiu, Yang Li, Yu-Shen Lin
We show that any locally planar tropical curve (with unit edge weights) can be realized as the limit of the rescaled moment map images of a family of speci…
math.DG2024
Special Lagrangian submanifolds in K3-fibered Calabi-Yau 3-folds
Shih-Kai Chiu, Yu-Shen Lin
We construct special Lagrangian submanifolds in collapsing Calabi-Yau 3-folds fibered by K3 surfaces. As these 3-folds collapse, the special Lagrangians shrink to 1-dimensional gra…
math.DG2024
A convergence result for Mean Curvature Flow of totally real submanifolds
Tristan C. Collins, Adam Jacob, Yu-Shen Lin
We establish a convergence result for the mean curvature flow starting from a totally real submanifold which is "almost minimal" in a precise, quantitative sense. This extends, and…