论文标题
构建具有控制复杂性的伪anosov流动的伯克霍夫部分
Constructing Birkhoff sections for pseudo-Anosov flows with controlled complexity
论文作者
论文摘要
我们介绍了一种为伪anosov流构建Birkhoff部分的新方法，该方法使用伪-Anosov流与弯曲的三角形之间的连接。此方法允许根据其欧拉（Euler）特征和边界轨道的复杂性来对伯克霍夫（Birkhoff）部分进行明确的结构。特别是，我们表明，任何瞬态伪anosov流动都有一个Birkhoff部分，其中有两个边界成分。
We introduce a new method of constructing Birkhoff sections for pseudo-Anosov flows, which uses the connection between pseudo-Anosov flows and veering triangulations. This method allows for explicit constructions, as well as control over the Birkhoff section in terms of its Euler characteristic and the complexity of the boundary orbits. In particular, we show that any transitive pseudo-Anosov flow has a Birkhoff section with two boundary components.
