• Corpus ID: 254069675

Kahler-type embeddings of balls into symplectic manifolds

  title={Kahler-type embeddings of balls into symplectic manifolds},
  author={Michael Entov and Misha Verbitsky},
Consider a symplectic embedding of a disjoint union of domains into a symplectic manifold $M$. Such an embedding is called Kahler-type, or respectively tame, if it is holomorphic with respect to some (not a priori fixed, Kahler-type) complex structure on $M$ compatible with the symplectic form, or respectively tamed by it. Assume that $M$ either of the following: a complex projective space (with the standard symplectic form), an even-dimensional torus or a K3 surface equipped with an irrational…