Special Lagrangian cones with higher genus links
Abstract
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.
- Publication:
-
Inventiones Mathematicae
- Pub Date:
- November 2006
- DOI:
- arXiv:
- arXiv:math/0512178
- Bibcode:
- 2006InMat.167..223H
- Keywords:
-
- Mathematics - Differential Geometry;
- Mathematics - Analysis of PDEs;
- Mathematics - Symplectic Geometry
- E-Print:
- 48 pages