https://neckpinch.com/authors/yang-li/New arXiv papers by Yang Li, from Neckpinch Tue, 03 Nov 2026 07:43:57 GMT https://neckpinch.com/papers/2410.22172/arxiv:2410.22172Tue, 29 Oct 2024 00:00:00 GMTYang 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 results are: uniqueness of all such tangent flows in dimension two; uniqueness in any dimension when the link of the cone is connected; the existence of nontrivial special Lagrangian blowup limits. We also prove a singular version of Imagi-Joyce-dos Santos's uniqueness result of the Lawlor neck. As an application we prove that in any dimension, singularities that admit a tangent flow given by the union of two transverse planes is modeled on shrinking Lawlor necks at suitable scales.Mean curvature flowLagrangian mean curvature flowSingularitiesStability & uniqueness