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Symplectic hypersurfaces in the complement of an isotropic submanifold |
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| Authors: | Denis Auroux Damien Gayet Jean-Paul Mohsen |
| Affiliation: | (1) Department of Mathematics, M.I.T., Cambridge MA 02139-4307, USA (E-mail: auroux@math.mit.edu), US;(2) Laboratoire Emile Picard, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 4, France (E-mail: gayet@picard.ups-tlse.fr), FR;(3) UMPA, ENS-Lyon, UMR 5669, 46 allée d'Italie, 69364 Lyon Cedex 7, France (E-mail: jpmohsen@umpa.ens-lyon.fr), FR |
| Abstract: | Using Donaldson's approximately holomorphic techniques, we construct symplectic hypersurfaces lying in the complement of any given compact isotropic submanifold of a compact symplectic manifold. We discuss the connection with rational convexity results in the K?hler case and various applications. Received: 9 January 2001 / Published online: 19 October 2001 |
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