在秩3中通过外空间走高边缘路线
Taking the High-Edge Route Through Outer Space in Rank 3
AI总结：
本文研究了主完全不可约外自同构的train track maps，证明了哪些秩3图承载这些映射，并得出哪些秩3 Culler-Vogtmann Outer space单纯形被主轴穿过的推论。
摘要：
主外自同构在Algom-Kfir-Kapovich-Pfaff中被引入以模拟主伪Anosov曲面同胚，即其吸引和排斥不变叶状结构仅有3叉奇异点。该文证明了主完全不可约外自同构在重要方面半模拟主伪Anosov曲面同胚。我们在此证明哪些秩3图承载主完全不可约外自同构的train track maps。作为推论，得出哪些秩3 Culler-Vogtmann Outer space单纯形被主轴穿过。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
