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

Peter Albers, Mark McLean

Research output: Contribution to journalArticle

8 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)271-284
Number of pages14
JournalJournal of Symplectic Geometry
Volume9
Issue number3
Publication statusPublished - Sep 2011

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