Primitive cohomology of degree 2 on compact symplectic manifolds

Primitive cohomology of degree 2 on compact symplectic manifolds
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紧辛流形上的 2 次本原上同调

DOI:
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发表时间:
2014-03
影响因子:
0.6
通讯作者:
Jiuru Zhou
Jiuru Zhou
中科院分区:
数学4区
文献类型:
--
作者:
Qiang Tan;Hongyu Wang;Jiuru Zhou

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本文在紧几乎K2 n-流形上定义了广义Lejmi P_J算子.我们得到$J$是$C^\infty$-纯且满的,如果$\dim\ker P_J=b^2-1$。此外,我们还研究了T.- J. Li和W. Zhang和L.- S. Tseng和S.- T.闭辛$4$-流形上的Yau。
In this paper, we define the generalized Lejmi's $P_J$ operator on a compact almost K\"{a}hler $2n$-manifold. We get that $J$ is $C^\infty$-pure and full if $\dim\ker P_J=b^2-1$. Additionally, we investigate the relationship between $J$-anti-invariant cohomology introduced by T.-J. Li and W. Zhang and new symplectic cohomologies introduced by L.-S. Tseng and S.-T. Yau on a closed symplectic $4$-manifold.
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