1999/07/06 by Nigel Hitchin, Hitchin, Nigel · 1 citation
Mathematics · Physics and Astronomy · #14J30 #53C25 #53C80 #Algebraic Geometry (math.AG) #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #hep-th #math.AG #math.DG #msc:14J30 #msc:53C25 #msc:53C80
paper · pdf · doi:10.48550/arxiv.math/9907034
Lectures given at the ICTP School on Differential Geometry April 1999
arxiv created 1999/07/06 · openalex publication_date 1999/07/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.