6 papers
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…
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…
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…
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…
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…