The geometric complexity of special Lagrangian $T^2$-cones

Details The geometric complexity of special Lagrangian $T^2$-cones The geometric complexity of special Lagrangian $T^2$-cones

2003-07-09

arxiv.org/abs/math/0307129v2

Mathematics

Differential Geometry

Revised version accepted for publication in Inventiones Mathematicae. 46 pages, 2 tables. Reference added relating to Theorem

Scientific paper

10.1007/s00222-003-0348-x

We prove a number of results relating various measures (volume, Legendrian index, stability index, and spectral curve genus) of the geometric complexity of special Lagrangian $T^2$-cones. We explain how these results fit into a program to understand the "most common" three-dimensional isolated singularities of special Lagrangian submanifolds in almost Calabi-Yau manifolds.

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