论文标题
标准嵌入式火车轨道和伪anosov地图，具有最小扩展因子
Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor
论文作者
论文摘要
我们表明，给定一个完全函数的伪anosov地图$ f：s $ f：s $，其穿刺至少在两个轨道上，在$ f $的情况下，扩展因子$λ（f）$满足不平等$λ（f）^{|χ（S） \ sqrt {5}} {2} \大约1.61803 $是黄金比率。证明涉及对标准嵌入式火车轨道的研究，以及在其重量空间上定义的瑟斯顿象征性形式。
We show that given a fully-punctured pseudo-Anosov map $f:S \to S$ whose punctures lie in at least two orbits under the action of $f$, the expansion factor $λ(f)$ satisfies the inequality $λ(f)^{|χ(S)|} \ge μ^4 \approx 6.85408$, where $μ= \frac{1 + \sqrt{5}}{2} \approx 1.61803$ is the golden ratio. The proof involves a study of standardly embedded train tracks, and the Thurston symplectic form defined on their weight space.
