关于训练轨道分裂序列
On train track splitting sequences
摘要：
我们证明了一个训练轨道分裂序列的地下投影是一个非参数化的拟测地线的曲线复杂的地下。为了证明，我们引入诱导轨道，有效位置和宽曲线。这个结果是证明圆盘复形是Gromov双曲的重要一步。作为另一个应用程序，我们表明，训练轨道滑动和分裂序列给准测地线的训练轨道图，推广Hamenstaedt [发明。Math.]。
英文摘要：
We show that the subsurface projection of a train track splitting sequence is an unparameterized quasi-geodesic in the curve complex of the subsurface. For the proof we introduce induced tracks, efficient position, and wide curves. This result is an important step in the proof that the disk complex is Gromov hyperbolic. As another application we show that train track sliding and splitting sequences give quasi-geodesics in the train track graph, generalizing a result of Hamenstaedt [Invent. Math.].
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