The geography of irreducible 4-manifolds

被引：15

作者：

Park, J ^{[1
]}

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 08期

关键词：

fiber sum; irreducible manifold; rational blow-down;

D O I：

10.1090/S0002-9939-98-04762-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the existence and the uniqueness problems for simply connected irreducible 4-manifolds. By taking fiber sums along an embedded surface of square 0 and by a rational blow-down procedure, we construct many new irreducible 4-manifolds which have infinitely many distinct smooth structures. Furthermore, we prove that all but at most finitely many lattice points lying in the non-positive signature region with 2e + 3sign greater than or equal to 0 are covered by these irreducible 4-manifolds.

引用

页码：2493 / 2503

页数：11

共 11 条

[1] ON THE GEOGRAPHY OF SURFACES - SIMPLY CONNECTED MINIMAL-SURFACES WITH POSITIVE INDEX [J].