We show that the space of anti-symplectic involutions of a monotone $S^2\times S^2$ whose fixed point set is a Lagrangian sphere is connected. This follows from a stronger result, namely that any two anti-symplectic involutions in that space are Hamiltonian isotopic.

中文翻译：

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辛二次曲面中拉格朗日球的反辛对合

我们证明了单调的反辛对合空间${\mathrm{小号}}^2\times {\mathrm{小号}}^2$其不动点集是一个拉格朗日球是连通的。这是从一个更强的结果得出的，即该空间中的任何两个反辛对合都是哈密顿同位素。