PGL（V）-Hitchin组件上的流动
Flows on the PGL(V)-Hitchin component
摘要：
在本文中，我们在PGL（V）的Hitchin组件上定义了新的流。这些流动的特殊例子与表面上的简单闭曲线相关联，并给出广义扭转流动。其他的例子，所谓的爆发流，与S中的一条裤子相关联，并捕获了n = 2时不存在的新现象。使用这些流，我们构建了一个全球坐标系的Hitchin组件。在这篇文章的一个配套文件中，两位作者开发了新的工具来计算希钦分量上的高盛辛形式，并证明了这个全球坐标系是达布坐标系。
英文摘要：
In this article we define new flows on the Hitchin components for PGL(V). Special examples of these flows are associated to simple closed curves on the surface and give generalized twist flows. Other examples, so called eruption flows, are associated to pair of pants in S and capture new phenomena which are not present in the case when n = 2. Using these flows, we construct a global coordinate system on the Hitchin component. In a companion paper to this article two of the authors develop new tools to compute the Goldman symplectic form on the Hitchin component, and prove that this global coordinate system is a Darboux coordinate system.
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