论文标题
作用于双曲空间的小组 - 调查
Groups acting on hyperbolic spaces -- a survey
论文作者
论文摘要
这是一份（非常主观的）调查文件，适用于非专业主义者，涵盖了对格罗莫夫双曲线空间的群体行为。第一部分是关于双曲线组本身的，而本文的其余部分则侧重于映射课程组和$ out（f_n）$，以及使用其在使用投影配合物构建的各种双曲线空间上的动作来理解其大规模几何形状的方法。 $ OUT（f_n）$的这种理解显着落后于映射课程组的理解，而论文以一些空旷的问题结束了。
This is a (very subjective) survey paper for nonspecialists covering group actions on Gromov hyperbolic spaces. The first section is about hyperbolic groups themselves, while the rest of the paper focuses on mapping class groups and $Out(F_n)$, and the way to understand their large scale geometry using their actions on various hyperbolic spaces constructed using projection complexes. This understanding for $Out(F_n)$ significantly lags behind that of mapping class groups and the paper ends with a few open questions.
