Simply connected symplectic 4-manifolds with b2+=1 and c12=2
Simply connected symplectic 4-manifolds with b2+=1 and c12=2
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b2 =1 且 c12=2 的单联辛 4 流形
DOI：
10.1007/s00222-004-0404-1
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发表时间：
2003
影响因子：
3.1
通讯作者：
Jongil Park
中科院分区：
文献类型：
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作者：
Jongil Park
本文利用有理Blow-down技巧构造了一个新的到有理曲面的单连通辛流形，其中b2+=1，c12=2，它是同胚的，但不是微分同胚的。作为推论，我们得出结论：有理曲面{mathbf{C}P^{2}P^2}7上线{mathbf{C}P}^{2}}允许一个奇异光滑结构。
In this article we construct a new simply connected symplectic 4-manifold with b2+=1 and c12=2 which is homeomorphic, but not diffeomorphic, to a rational surface by using rational blow-down technique. As a corollary, we conclude that a rational surface $\mathbf{C}P^{2}{\sharp} 7 \overline{\mathbf{C}P}^{2}$ admits an exotic smooth structure.