From symplectic deformation to isotopy
Abstract
Description
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.
Latex 16 pages. Revised version of Aug 4, 1997. The last section on symplectic fibrations has been improved
Latex 16 pages. Revised version of Aug 4, 1997. The last section on symplectic fibrations has been improved