Mirror symmetry, D-branes and counting holomorphic discs
Mirror symmetry, D-branes and counting holomorphic discs
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发表时间：
2000-12
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通讯作者：
Mina Aganagic;C. Vafa
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作者：
Mina Aganagic;C. Vafa
我们考虑一类特殊的拉格朗日子空间的Calabi-Yau流形，并确定其镜像，使用最近的推导镜像对称，作为某些全纯品种的镜像几何。这将结束于拉格朗日子流形上的全纯圆盘瞬子的计数转换为镜像上的经典Abel-Jacobi映射。我们恢复一些已经预期的结果，以及获得一些非常重要的新的预测。
We consider a class of special Lagrangian subspaces of Calabi-Yau manifolds and identify their mirrors, using the recent derivation of mirror symmetry, as certain holomorphic varieties of the mirror geometry. This transforms the counting of holomorphic disc instantons ending on the Lagrangian submanifold to the classical Abel-Jacobi map on the mirror. We recover some results already anticipated as well as obtain some highly non-trivial new predictions.