activity
20232025
most citedOn the Donaldson-Scaduto conjecture

1 citations · 1 across the 8 of their papers we have counts for

collaborators

9 papers

math.DG2025

Generic regularity of intermediate complex structure limits

Yang Li, Valentino Tosatti

We study certain polarized degenerations of Calabi-Yau manifolds near an intermediate complex structure limit, and improve the potential -convergence to a metric convergence r…

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 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 , we show that the potential theoretic limit of the Calabi-Yau metri…

math.DG2025

The large mass limit of and Calabi-Yau monopoles

Yang Li

We develop a structure theory for the limit of -monopoles (resp. Calabi-Yau monopoles) on a principal -bundle over an asymptotically conical -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…

math.DG2024

Singularity formations in Lagrangian mean curvature flow

Yang Li, Gábor Székelyhidi

We study singularities along the Lagrangian mean curvature flow with tangent flows given by multiplicity one special Lagrangian cones that are smooth away from the origin. Some res…

math.DG2024

Fueter sections and -harmonic 1-forms

Saman Habibi Esfahani, Yang Li

Motivated by a conjecture of Donaldson and Segal on the counts of monopoles and special Lagrangians in Calabi-Yau 3-folds, we prove a compactness theorem for Fueter sections of cha…

math.DG2024★ 1 cited

On the Donaldson-Scaduto conjecture

Saman Habibi Esfahani, Yang Li

Motivated by -manifolds with coassociative fibrations in the adiabatic limit, Donaldson and Scaduto conjectured the existence of associative submanifolds homeomorphic to a thr…

math.DG2023

Special Lagrangian pair of pants

Yang Li

We construct special Lagrangian pair of pants in general dimensions, inside the cotangent bundle of with the Euclidean structure.