Minimal Lagrangian 2-tori in CP^2 come in real families of every dimension
Abstract
Description
We show that for every non-negative integer n there is a real n-dimensional family of minimal Lagrangian tori in CP^2, and hence of special Lagrangian cones in C^3 whose link is a torus. The proof utilises the fact that such tori arise from integrable systems, and can be described using algebro-geometric (spectral curve) data.
16 pages, 1 figure (V3: minor corrections and inclusions)
16 pages, 1 figure (V3: minor corrections and inclusions)