论文标题
曲线复合物的商
Quotients of the curve complex
论文作者
论文摘要
我们考虑曲线复合物的三种商，它们是通过统一的准符号子空间来获得的：对称曲线集，非最大途径的火车轨道集和压缩身体盘组。我们表明，映射类小组对这些商的作用是强烈的WPD，这意味着动作是非元素的，这些商的直径是无限的。
We consider three kinds of quotients of the curve complex which are obtained by coning off uniformly quasi-convex subspaces: symmetric curve sets, non-maximal train track sets, and compression body disc sets. We show that the actions of the mapping class group on those quotients are strongly WPD, which implies that the actions are non-elementary and those quotients are of infinite diameter.
