This is the second of the series of papers on the classification of six-dimensional closed monotone symplectic manifold admitting a semifree Hamiltonian [Formula: see text]-action. In [Y. Cho, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions I, Int. J. Math. 6 1950032], we dealt with the case where at least one of the extremal fixed point is isolated and proved that every such manifold is Kähler Fano. In this paper, we show that if the maximal and the minimal fixed components are both two-dimensional, then the manifold is [Formula: see text]-equivariantly symplectomorphic to some Kähler Fano manifold with a certain holomorphic Hamiltonian [Formula: see text]-action. We also give a complete list of such Fano manifolds together with an explicit description of the [Formula: see text]-actions.

中文翻译：

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允许半自由圆动作的六维单调辛流形分类Ⅱ

这是关于承认半自由哈密顿量[公式：见正文]-作用的六维封闭单调辛流形分类的系列论文的第二篇。在 [Y. Cho，六维单调辛流形的分类，承认半自由圆动作 I，诠释。J.数学。6 1950032]，我们处理了至少一个极值不动点被隔离的情况，并证明了每个这样的流形都是 Kähler Fano。在本文中，我们证明如果最大和最小固定分量都是二维的，那么流形是[公式：见文本]-等变辛纯到一些具有一定全纯哈密顿量的 Kähler Fano 流形[公式：见文本] -行动。我们还给出了这样的 Fano 流形的完整列表以及对 [公式：见文本] 动作的明确描述。