Ruled 4-manifolds and isotopies of symplectic surfaces

Details Ruled 4-manifolds and isotopies of symplectic surfaces Ruled 4-manifolds and isotopies of symplectic surfaces

2005-10-05

arxiv.org/abs/math/0510108v1

Mathematics

Symplectic Geometry

Scientific paper

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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