Inventiones mathematicae

, Volume 103, Issue 1, pp 651–671 | Cite as

Symplectic manifolds with contact type boundaries

  • Dusa McDuff


An example of a 4-dimensional symplectic manifold with disconnected boundary of contact type is constructed. A collection of other results about symplectic manifolds with contact-type boundaries are derived using the theory ofJ-holomorphic spheres. In particular, the following theorem of Eliashberg-Floer-McDuff is proved: if a neighbourhood of the boundary of (V, ω) is symplectomorphic to a neighbourhood ofS2n−1 in standard Euclidean space, and if ω vanishes on all 2-spheres inV, thenV is diffeomorphic to the ballB2n.


Manifold Euclidean Space Symplectic Manifold Type Boundary Contact Type 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Dusa McDuff
    • 1
  1. 1.Mathemathical DepartmentSUNYStony BrookUSA

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