The geography of symplectic 4-manifolds with an arbitrary fundamental group
The geography of symplectic 4-manifolds with an arbitrary fundamental group
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具有任意基本群的辛4-流形的地理
DOI：
10.1090/s0002-9939-07-08818-1
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Jongil Park
中科院分区：
文献类型：
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作者：
Jongil Park
本文对每个有限表示群G，构造了一族极小辛4-流形，π1=G，它覆盖了大多数格点(x，c)，其中x在0<；c<；9x区域内大。此外，我们还证明了所有这些4-流形都允许无穷多个不同的光滑结构。
In this article, for each finitely presented group G, we construct a family of minimal symplectic 4-manifolds with π 1 = G which cover most lattice points (x, c) with x large in the region 0 < c < 9x. Furthermore, we show that all these 4-manifolds admit infinitely many distinct smooth structures.