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Lectures on Special Lagrangian Submanifolds

Nigel Hitchin
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Abstract

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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Nigel Hitchin. 1999-07-06. Lectures on Special Lagrangian Submanifolds. https://arxiv.org/abs/math/9907034

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