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Is there any theorem characterizing those sypmlectic manifolds that can be embedded symplectically in projective space equipped with Fubini-Study symplectic form?

asked Feb 26 2012 at 5:25

Hamed

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Why is this community wiki? – Igor Rivin Feb 26 2012 at 6:15

You should also see this mathoverflow question: mathoverflow.net/questions/59733/… – Sam Lisi Feb 26 2012 at 11:07

Igor Rivin · Answer 1 · 2012-02-26 06:16:22Z UTC

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According to this paper: http://arxiv.org/pdf/math/9811167.pdf, it is a theorem of Gromov and Tischler (op cit) that EVERY compact symplectic manifold is a symplectic submanifold of complex projective space.

answered Feb 26 2012 at 6:16

Igor Rivin

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(Every compact symplectic manifold with integral symplectic class, that is.) – Tim Perutz Feb 26 2012 at 17:28

Fishy version of Kodaira embedding theorem !

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