Mathematics – Geometric Topology
Scientific paper
2003-11-22
Mathematics
Geometric Topology
12 pages, some errors were fixed
Scientific paper
10.1007/s00222-004-0404-1
In this article we construct a new family of simply connected symplectic
4-manifolds with $b_2^+ =1$ and $c_1^2 =2$ which are not diffeomorphic to
rational surfaces by using rational blow-down technique. As a corollary, we
conclude that a rational surface ${\mathbf CP}^2 \sharp 7{\bar{{\mathbf
CP}}^2}$ admits an exotic smooth structure.
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