论文标题
在第3等级中以高边路线穿过外太空
Taking the High-Edge Route Through Outer Space in Rank 3
论文作者
论文摘要
在Algom-Kfir-Kapovich-Pfaff中引入了主要的外部自身形态，以模拟主要的伪-Anosov表面同构，即那些吸引和消除不变叶的人只有3个固定的奇异性。在Algom-kfir-kapovich-Pfaff中证明了这一点，其主要不可还原的外部自动形态是半模拟的主伪-Anosov表面同构的同态同态，并以重要的方式进行。我们在这里证明了哪个等级3图携带火车轨道图，用于原理完全不可还原外部自动形态。作为推论，可以通过主轴通过哪个等级3 Culler-Vogtmann外层空间简单。
Principal outer automorphisms were introduced in Algom-Kfir-Kapovich-Pfaff to emulate principal pseudo-Anosov surface homeomorphisms, i.e. those whose attracting and repelling invariant foliations have only 3-pronged singularities. It is proved in Algom-Kfir-Kapovich-Pfaff that principal fully irreducible outer automorphisms semi-mimic principal pseudo-Anosov surface homeomorphisms in important ways. We prove here which rank-3 graphs carry train track maps for principal fully irreducible outer automorphisms. As a corollary, one obtains which rank-3 Culler-Vogtmann Outer space simplices are passed through by principal axes.
