New examples of compact special Lagrangian submanifolds embedded in   hyper-K\"ahler manifolds
  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. 
Kota Hattori
math.DG