Lectures on Special Lagrangian Submanifolds
Differential Geometry
2007-05-23 v1 High Energy Physics - Theory
Algebraic Geometry
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.
Cite
@article{arxiv.math/9907034,
title = {Lectures on Special Lagrangian Submanifolds},
author = {Nigel Hitchin},
journal= {arXiv preprint arXiv:math/9907034},
year = {2007}
}
Comments
Lectures given at the ICTP School on Differential Geometry April 1999