辛流形的近似Kahler嵌入
Nearly Kahlerian Embeddings of Symplectic Manifolds
摘要:
给定一个积分辛流形,我们构造了一族到复射影空间的“相干态”映射。这些映射是由曲率是辛形式的倍数的厄米线丛的张量幂幂的截面建立的。我们表明,这个家庭是一个几乎复杂的版本的Kodiara嵌入。也就是说,映射是近似伪全纯的嵌入。
英文摘要:
Given an integral symplectic manifold, we construct a family of "coherent state" maps into complex projective space. The maps are built from sections of the tensor powers of a hermitian line bundle whose curvature is a multiple of the symplectic form. We show that this family is an almost-complex version of the Kodiara embedding. That is, the maps are embeddings which are approximately pseudo-holomorphic.
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