Symplectic rational blowdowns

Details Symplectic rational blowdowns Symplectic rational blowdowns

1998-02-17

arxiv.org/abs/math/9802079v1

Mathematics

Differential Geometry

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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