ON THE J-ANTI-INVARIANT COHOMOLOGY OF ALMOST COMPLEX 4-MANIFOLDS

被引：30

作者：

Draghici, Tedi ^{[1
]}

Li, Tian-Jun ^{[2
]}

Zhang, Weiyi ^{[3
]}

机构：

[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[3] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2013年 / 64卷 / 01期

关键词：

KAHLER; SURFACES; METRICS;

D O I：

10.1093/qmath/har034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a compact almost complex 4-manifold (M, J), we study the subgroups H-J(+/-) of H-2(M, R) consisting of cohomology classes representable by J-invariant, respectively, J-anti-invariant real 2-forms. If b(+)=1, we show that, for generic almost complex structures on M, the subgroup H-J(-) is trivial. Computations of the subgroups and their dimensions h(J)(+/-) are obtained for almost complex structures related to integrable ones. We also prove semi-continuity properties for h(J)(+/-).

引用

页码：83 / 111

页数：29

共 31 条

[11]

Donaldson S., 2006, Nankai Tracts in Mathematics, V11, P153

[12] Symplectic Forms and Cohomology Decomposition of almost Complex Four-Manifolds [J].