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Submanifolds of symplectic manifolds with contact border

Francisco Presas
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Abstract

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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Francisco Presas. 2000-07-06. Submanifolds of symplectic manifolds with contact border. https://arxiv.org/abs/math/0007037

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