Symplectic rational blowdowns
classification
🧮 math.DG
math.GT
keywords
symplecticmanifoldsrationalsmoothadmitblowdownblowdownscategory
read the original abstract
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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