The geography of spin symplectic 4-manifolds
The geography of spin symplectic 4-manifolds
复制标题
自旋辛4流形的地理
DOI：
10.1007/s002090100390
复制
发表时间：
2000
影响因子：
0.8
通讯作者：
Jongil Park
中科院分区：
文献类型：
--
作者：
Jongil Park
抽象的。本文构造了一族单连通的自旋非复辛4-流形，它们覆盖了除100个允许格点之外的所有格点（
$\chi，{\mathbf c}$）位于
$0 \leq{\mathbf c} \leq 8.76\chi$。作为推论，我们还证明了，
$（2n+1）（S^2\times S^2）$对于所有足够大的n。
Abstract. In this paper we construct a family of simply connected spin non-complex symplectic 4-manifolds which cover all but finitely many allowed lattice points (
$\chi,{\mathbf c}$) lying in the region
$0 \leq{\mathbf c} \leq 8.76\chi$. Furthermore, as a corollary, we prove that there exist infinitely many exotic smooth structures on
$(2n+1)(S^2\times S^2)$ for all n large enough.