THE LOCAL BEHAVIOR OF HOLOMORPHIC-CURVES IN ALMOST COMPLEX 4-MANIFOLDS

被引：0

作者：

MCDUFF, D ^{[1
]}

机构：

[1] SUNY STONY BROOK,STONY BROOK,NY 11794

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 1991年 / 34卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove various results about the positivity of intersections of holomorphic curves in almost complex 4-manifolds which were stated by Gromov. We also show that the virtual genus of any closed holomorphic curve in an almost complex 4-manifold is nonnegative. These technical results form the basis of the classification of rational and ruled symplectic 4-manifolds given in [5].

引用

页码：143 / 164

页数：22

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