Special Lagrangian cones with higher genus links

Research paper by M. Haskins, N. Kapouleas

Indexed on: 08 Dec '05Published on: 08 Dec '05Published in: Mathematics - Differential Geometry


For every odd natural number g=2d+1 we prove the existence of a countably infinite family of special Lagrangian cones in C^3 over a closed Riemann surface of genus g, using a geometric PDE gluing method.