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

E. Carberry, I. Mcintosh

Research output: Contribution to journalArticlepeer-review


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

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