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.
Original language | English |
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Pages (from-to) | 531-544 |
Number of pages | 13 |
Journal | Journal of the London Mathematical Society |
Volume | 69 |
Issue number | 2 |
DOIs | |
Publication status | Published - 5 Aug 2003 |