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

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

2009-04-22

arxiv.org/abs/0904.3564v1

Journal of Symplectic Topology, 9(3), (2011), 271 - 284

Mathematics

Symplectic Geometry

11 pages, 4 figures

Scientific paper

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 leaf-wise intersection points. Moreover, any Stein filling has infinite dimensional symplectic homology.

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