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Nearly Kahlerian Embeddings of Symplectic Manifolds

David Borthwick·Alejandro Uribe
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Abstract

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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BibTeXRIS

David Borthwick, Alejandro Uribe. 1998-12-07. Nearly Kahlerian Embeddings of Symplectic Manifolds. https://arxiv.org/abs/math/9812041

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