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From symplectic deformation to isotopy

Dusa McDuff
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Abstract

Let $X$ be an oriented 4-manifold which does not have simple SW-type, for example a blow-up of a rational or ruled surface. We show that any two cohomologous and deformation equivalent symplectic forms on $X$ are isotopic. This implies that blow-ups of these manifolds are unique, thus extending work of Biran. We also establish uniqueness of structure for certain fibered 4-manifolds.

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Dusa McDuff. 1997-08-08. From symplectic deformation to isotopy. https://arxiv.org/abs/dg-ga/9606004

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