We complete the classification of rank two affine manifolds in the moduli space of translation surfaces in genus three. Combined with a recent result of Mirzakhani and Wright, this completes the classification of higher rank affine manifolds in genus three.

中文翻译：

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属$ 3 $中的2个仿射流形

我们完成了第三类平移表面模空间中第二级仿射流形的分类。结合Mirzakhani和Wright的最新结果，完成了对第三属的更高等级仿射流形的分类。