A Note on the Deformations of Almost Complex Structures on Closed Four-Manifolds

作者：Tan, Qiang^*; Wang, Hongyu; Zhou, Jiuru

来源：Journal of Geometric Analysis, 2017, 27(4): 2700-2724.

DOI：10.1007/s12220-017-9779-2

• Almost Kahler four-manifold
• Deformations of almost complex structures
• Dimension of J-anti-invariant cohomology

In this paper, we calculate the dimension of the J-anti-invariant cohomology subgroup H-J(-) on T-4. Inspired by the concrete example, T4, we get that: on a closed symplectic 4-dimensional manifold (M, omega), h(J)(-) = 0 for generic omega-compatible almost complex structures.

• 出版日期2017-10
• 单位扬州大学; 武汉大学; 江苏大学