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

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

11 pages, 4 figures

References in corpus (1)

• Infinitely many leaf-wise intersections on cotangent bundles

Cited by in corpus (9)

• Symplectic cohomology and q-intersection numbers
• Rabinowitz Floer homology: A survey
• On iterated translated points for contactomorphisms of R^{2n+1} and R^{2n} x S^1
• Cup-length estimates for leaf-wise intersections
• A spectral sequence for symplectic homology
• Hamiltonian perturbations in contact Floer homology
• Disjoinable Lagrangian tori and semisimple symplectic cohomology
• Künneth Formula in Rabinowitz Floer homology
• Generating functions in symplectic and contact geometry