Journal of Symplectic Geometry

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

Peter Albers and Mark McLean

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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.

Article information

Source
J. Symplectic Geom., Volume 9, Number 3 (2011), 271-284.

Dates
First available in Project Euclid: 11 July 2011

Permanent link to this document
https://projecteuclid.org/euclid.jsg/1310388898

Mathematical Reviews number (MathSciNet)
MR2817777

Zentralblatt MATH identifier
1239.53106

Citation

Albers, Peter; McLean, Mark. Non-displaceable contact embeddings and infinitely many leaf-wise intersections. J. Symplectic Geom. 9 (2011), no. 3, 271--284. https://projecteuclid.org/euclid.jsg/1310388898


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