Complex and Differential Geometry pp 49-63
Holomorphic symplectic geometry: a problem list
The usual structures of symplectic geometry (symplectic, contact, Poisson) make sense for complex manifolds; they turn out to be quite interesting on projective, or compact Kähler, manifolds. In these notes we review some of the recent results on the subject, with emphasis on the open problems and conjectures.
Keywordssymplectic contact Poisson manifolds hyperkähler manifolds Fujiki constant Lagrangian fibration quaternion-Kähler manifolds
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