Ruled 4-manifolds and isotopies of symplectic surfaces |
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Authors: | Richard Hind Alexander Ivrii |
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Affiliation: | 1. Department of Mathematics, University of Notre Dame, Notre Dame, IN, 46556, USA 2. Départment de Mathématiques et de Statistique, Université de Montréal, CP 6128 succ Centre-Ville, Montreal, QC, H3C 3J7, Canada
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Abstract: | We study symplectic surfaces in ruled symplectic 4-manifolds which are disjoint from a given symplectic section. As a consequence, in any symplectic 4-manifold, two homologous symplectic surfaces which are C 0 close must be Hamiltonian isotopic. |
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