A meromorphic differential on a Riemann surface is said to be real-normalized if all its periods are real. Real-normalized differentials on Riemann surfaces of given genus with prescribed orders of their poles form real orbifolds whose topology is closely related to that of moduli spaces of Riemann surfaces with marked points. Our goal is to develop tools to study this topology. We propose a combinatorial model for the real-normalized differentials with a single order 2 pole and use it to analyze the corresponding absolute period foliation.

中文翻译：

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具有单阶2极点的实数归一化微分

如果其所有周期都是实数，则称黎曼曲面上的亚纯微分是实数归一化的。给定属的黎曼曲面上具有极点规定阶数的实归一化微分形成实球面，其拓扑结构与带标记点的黎曼曲面的模空间紧密相关。我们的目标是开发工具来研究这种拓扑。我们为单阶2极点的实数归一化差分提出了组合模型，并使用它来分析相应的绝对周期叶。