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arxiv: math/0007037 · v1 · submitted 2000-07-06 · 🧮 math.SG · math.DG

Submanifolds of symplectic manifolds with contact border

classification 🧮 math.SG math.DG
keywords contactsubmanifoldsbordersymplecticmanifoldsapplicationsboundarycharacterization
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We construct symplectic submanifolds of symplectic manifolds with contact border. The boundary of such submanifolds is shown to be a contact submanifold of the contact border. We also give a topological characterization of the constructed submanifolds by means of a ``relative Lefschetz hyperplane Theorem''. We sketch some of the applications of the results.

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