论文标题
Weil-petersson大地测量学的瓶颈
Bottlenecks for Weil-Petersson geodesics
论文作者
论文摘要
我们介绍了一种在Teichmüller空间中构建具有某些行为的Weil-Petersson（WP）的方法。这使我们能够研究WP完成阶层之间的大地测量行程及其与最终不变的地下投影系数的关系。作为应用程序，我们证明了通用曲线中的短曲线与WP测量线的短曲线与相关双曲线$ 3 $ manifold的差异。
We introduce a method for constructing Weil-Petersson (WP) geodesics with certain behavior in the Teichmüller space. This allows us to study the itinerary of geodesics among the strata of the WP completion and its relation to subsurface projection coefficients of their end invariants. As an application we demonstrate the disparity between short curves in the universal curve over a WP geodesic and those of the associated hyperbolic $3$-manifold.
