We construct smooth families of compact special Lagrangian submanifolds embedded in some toric hyper-K\"ahler manifolds, which never become holomorphic Lagrangian submanifolds via any hyper-K\"ahler rotations. These families converge to special Lagrangian immersions with self-intersection points in the sense of current. To construct them, we apply the desingularization method developed by Joyce.
SU(3)-structures and Special Lagrangian Geometries
Special Lagrangian submanifolds with isolated conical singularities. III. Desingularization, the unobstructed case
On a new construction of special Lagrangian immersions in complex Euclidean space
![QR code for arXiv:1410.3271 [math.DG]](http://oss.arxitics.com/images/favicon.svg)