We present a cohomological proof that recurrence of suitable Teichmüller geodesics implies unique ergodicity of their terminal foliations. This approach also yields concrete estimates for periodic foliations and new results for polygonal billiards.

中文翻译：

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Teichmüller动力学和独特的遍历性通过电流和霍奇理论

我们提供了一个同调证据，证明适当的Teichmüller测地线的复发暗示着其末梢叶的独特遍历性。这种方法还可以得出定期叶面的具体估计值，以及多边形台球的新结果。