Symplectic Embeddings of 4-dimensional Ellipsoids

  title={Symplectic Embeddings of 4-dimensional Ellipsoids},
  author={Dusa Mcduff},
We show how to reduce the problem of symplectically embedding one 4dimensional rational ellipsoid into another to a problem of embedding disjoint unions of balls into appropriate blow ups of CP . For example, the problem of embedding the ellipsoid E(1, k) into a ball B is equivalent to that of embedding k disjoint equal balls into CP , and so can be solved by the work of Gromov, McDuff–Polterovich and Biran. (Here k is the ratio of the area of the major axis to that of the minor axis.) As a… CONTINUE READING
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