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

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JournalJournal of the London Mathematical Society
DatePublished - 5 Aug 2003
Issue number2
Volume69
Number of pages13
Pages (from-to)531-544
Original languageEnglish

Abstract

It is shown 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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