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Ruled 4-manifolds and isotopies of symplectic surfaces

R. Hind·A. Ivrii
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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 we see that, in any symplectic 4-manifold, two homologous symplectic surfaces which are sufficiently C^0 close must be Hamiltonian isotopic.

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R. Hind, A. Ivrii. 2005-10-05. Ruled 4-manifolds and isotopies of symplectic surfaces. https://arxiv.org/abs/math/0510108

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