Publications [#345596] of Mark Haskins

Papers Published

1. Haskins, M, Special Lagrangian cones, American Journal of Mathematics, vol. 126 no. 4 (January, 2004), pp. 845-871 [doi]
   (last updated on 2026/01/14)

   Abstract:
   We study special Lagrangian cones in ℂⁿ with isolated singularities especially the case n = 3. Our main result constructs an infinite family of special Lagrangian cones in ℂ³ each of which has a toroidal link. We obtain a detailed geometric description of these tori. We prove a regularity result for special Lagrangian cones in ℂ³ with a spherical link - any such cone must be a plane. We also construct a one-parameter family of asymptotically conical special Lagrangian submanifolds from any special Lagrangian cone.