Non-displaceable contact embeddings and infinitely many leaf-wise intersections
Symplectic Geometry
2014-09-04 v1 Differential Geometry
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.
Cite
@article{arxiv.0904.3564,
title = {Non-displaceable contact embeddings and infinitely many leaf-wise intersections},
author = {Peter Albers and Mark McLean},
journal= {arXiv preprint arXiv:0904.3564},
year = {2014}
}
Comments
11 pages, 4 figures