Journal of Symplectic Geometry

Volume 9 (2011)

Number 3

Non-displaceable contact embeddings and infinitely many leaf-wise intersections

Pages: 271 – 284



Peter Albers

Mark McLean


We construct using Lefschetz fibrations a large family of contact manifolds with the following properties: any bounding contact embedding into an exact symplectic manifold satisfying a mild topological assumption is non-displaceable and generically has infinitely many leafwise intersection points. Moreover, any Stein filling of dimension at least six has infinite-dimensional symplectic homology.

Published 6 July 2011