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

被引：28
|
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
收藏
页码：83 / 111
页数：29
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