This graduate level text covers an exciting and active area of research at the crossroads of several different fields in Mathematics and Physics. In Mathematics it involves Differential Geometry, Complex Algebraic Geometry, Symplectic Geometry, and in Physics String Theory and Mirror Symmetry. Drawing extensively on the author's previous work, the text explains the advanced mathematics involved simply and clearly to both mathematicians and physicists. Starting with the basic geometry of connections, curvature, complex and Kahler structures suitable for beginning graduate students, the text covers seminal results such as Yau's proof of the Calabi Conjecture, and takes the reader all the way to the frontiers of current research in calibrated geometry, giving many open problems.
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内容极为前沿。第九章有从数学角度对 Mirror symmetry 进行的最诚实的介绍。关于 Kaehler manifold 和 Calabi-Yau manifold 的章节作为入门也很好。
评分内容极为前沿。第九章有从数学角度对 Mirror symmetry 进行的最诚实的介绍。关于 Kaehler manifold 和 Calabi-Yau manifold 的章节作为入门也很好。
评分内容极为前沿。第九章有从数学角度对 Mirror symmetry 进行的最诚实的介绍。关于 Kaehler manifold 和 Calabi-Yau manifold 的章节作为入门也很好。
评分内容极为前沿。第九章有从数学角度对 Mirror symmetry 进行的最诚实的介绍。关于 Kaehler manifold 和 Calabi-Yau manifold 的章节作为入门也很好。
评分内容极为前沿。第九章有从数学角度对 Mirror symmetry 进行的最诚实的介绍。关于 Kaehler manifold 和 Calabi-Yau manifold 的章节作为入门也很好。
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