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

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

2003-08-05

arxiv.org/abs/math/0308031v3

J. London Math. Soc. (2) 69 (2004) 531-544

Mathematics

Differential Geometry

16 pages, 1 figure (V3: minor corrections and inclusions)

Scientific paper

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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