We study the interaction of two scattering channels for a simple geometric model consisting in a double covering of the plane with two branch points, equipped with the Euclidean metric. We show that the scattering channels are open in the sense of [11] and that this property is stable under suitable perturbations of the metric.

中文翻译：

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在开放的散射通道上，用于欧几里德平面的分支覆盖

我们研究了一个简单的几何模型的两个散射通道的相互作用，该模型包含一个平面的两个分支点的双重覆盖，并配备了欧几里得度量。我们显示出散射通道在[11]的意义上是开放的，并且在度量的适当扰动下，此属性是稳定的。