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Lectures on Special Lagrangian Submanifolds

微分几何 2007-05-23 v1 高能物理 - 理论 代数几何

摘要

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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引用

@article{arxiv.math/9907034,
  title  = {Lectures on Special Lagrangian Submanifolds},
  author = {Nigel Hitchin},
  journal= {arXiv preprint arXiv:math/9907034},
  year   = {2007}
}

备注

Lectures given at the ICTP School on Differential Geometry April 1999