2003/08/31 by Emma Carberry, Ian McIntosh · 1 citation
Mathematics · #math.DG #msc:53C43 #msc:58E20
published as J. London Math. Soc. (2) 69 (2004) 531-544 · 16 pages, 1 figure (V3: minor corrections and inclusions)
arxiv created 2004/05/03 · arxiv updated 2009/12/01
We show 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.