Symplectic rational blowdowns

Mathematics – Differential Geometry

Scientific paper

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12 pages; 4 figures; Latex2e document

Scientific paper

We prove that the rational blowdown, a surgery on smooth 4-manifolds
introduced by Fintushel and Stern, can be performed in the symplectic category.
As a consequence, interesting families of smooth 4-manifolds, including the
exotic $K3$ surfaces of Gompf and Mrowka, admit symplectic structures.

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