论文标题
关于曲线图上伪anosov地图的翻译长度
On Translation Lengths of Pseudo-Anosov Maps on the Curve Graph
论文作者
论文摘要
我们表明，构建的伪anosov映射是两条填充曲线的巨大功率的产物，总是在表面的曲线图上有一个地球轴。当两个填充曲线被多型替代时，我们还获得了伪anosov图的稳定翻译长度的估计值。我们定理的三个主要应用如下：（a）确定哪个单词意识到特定单词中曲线图上的最小翻译长度，（（b）给出一类新的伪 - anosov映射绘制的曲线上稳定翻译的比例优化曲线图上的稳定翻译比例，以便在teichmülllerSpace（c）上有多大的回答，（c）有多大的回答。映射类组的子组。
We show that a pseudo-Anosov map constructed as a product of the large power of Dehn twists of two filling curves always has a geodesic axis on the curve graph of the surface. We also obtain estimates of the stable translation length of a pseudo-Anosov map, when two filling curves are replaced by multicurves. Three main applications of our theorem are the following: (a) determining which word realizes the minimal translation length on the curve graph within a specific class of words, (b) giving a new class of pseudo-Anosov maps optimizing the ratio of stable translation lengths on the curve graph to that on Teichmüller space, (c) giving a partial answer of how much powers will be needed for Dehn twists to generate right-angled Artin subgroup of the mapping class group.
