6 papers · 1 filter
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…
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…
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…
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…
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…
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…