Journal of Symplectic Geometry

Volume 9 (2011)

Number 3

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

Pages: 271 – 284

DOI: http://dx.doi.org/10.4310/JSG.2011.v9.n3.a1

Authors

Peter Albers

Mark McLean

Abstract

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.

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