Minimal Lagrangian 2-tori in CP2 come in real families of every dimension
Emma Carberry, Ian McIntosh
Abstract
We show that for every non-negative integer n there is a real n-dimensional family of minimal Lagrangian tori in CP2, and hence of special Lagrangian cones in C3 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.
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