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arXiv · 1411.4103

A note on the deformations of almost complex structures on compact four-manifolds

Qiang Tan·Hongyu Wang·Jiuru Zhou
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Abstract

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

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Qiang Tan, Hongyu Wang, Jiuru Zhou. 2014-11-15. A note on the deformations of almost complex structures on compact four-manifolds. https://arxiv.org/abs/1411.4103

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