Yang Li

collaborators

4 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 $Γ \subset R^{n}$ (with unit edge weights) can be realized as the limit of the rescaled moment map images of a family of specia…

math.DG2025

Degeneration of Calabi-Yau metrics and canonical basis

Yang Li

For polarised degenerations of Calabi-Yau manifolds whose essential skeleton has dimension $1 \leq m \leq n$ , we show that the $C^{0}$ potential theoretic limit of the Calabi-Yau metri…

math.DG2025

The large mass limit of $G_{2}$ and Calabi-Yau monopoles

Yang Li

We develop a structure theory for the limit of $S U (2)$ $G_{2}$ -monopoles (resp. Calabi-Yau monopoles) on a principal $S U (2)$ -bundle over an asymptotically conical $G_{2}$ -manifolds (re…

math.DG2024

Uniqueness in the local Donaldson-Scaduto conjecture

Gorapada Bera, Saman Habibi Esfahani, Yang Li

The local Donaldson-Scaduto conjecture predicts the existence and uniqueness of a special Lagrangian pair of pants with three asymptotically cylindrical ends in the Calabi-Yau 3-fo…

From tropical curves to special Lagrangians

Degeneration of Calabi-Yau metrics and canonical basis

The large mass limit of G2​ and Calabi-Yau monopoles

Uniqueness in the local Donaldson-Scaduto conjecture

The large mass limit of $G_{2}$ and Calabi-Yau monopoles