Lectures on Special Lagrangian Submanifolds

Mathematics – Differential Geometry

Scientific paper

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Lectures given at the ICTP School on Differential Geometry April 1999

Scientific paper

These notes consist of a study of special Lagrangian submanifolds of
Calabi-Yau manifolds and their moduli spaces. The particular case of three
dimensions, important in string theory, allows us to introduce the notion of
gerbes. These offer an appropriate language for describing many significant
features of the Strominger-Yau-Zaslow approach to mirror symmetry.

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