Minimal Lagrangian 2-tori in CP^2 come in real families of every dimension

Emma Carberry; Ian McIntosh

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Minimal Lagrangian 2-tori in CP^2 come in real families of every dimension

Emma Carberry·Ian McIntosh

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Abstract

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.

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Emma Carberry, Ian McIntosh. 2004-05-03. Minimal Lagrangian 2-tori in CP^2 come in real families of every dimension. https://arxiv.org/abs/math/0308031

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