论文标题
多面体树综合
The Polyhedral Tree Complex
论文作者
论文摘要
Tree Complex是Belk，Lanier，Margalit和Winarski的最新作品中定义的简单复合体，并在映射课堂组和复杂动力学上进行了自然应用。在本文中，我们将此设置与某些凸多个凸的研究联系起来：Associahedra和Cyclohedra。具体而言，我们使用树木的平面嵌入来描述这些多面体的表征，并表明树木复合物是多面体细胞复合物的重中室细分，细胞是辅助性和环保的产物。
The tree complex is a simplicial complex defined in recent work of Belk, Lanier, Margalit, and Winarski with natural applications to mapping class groups and complex dynamics. In this article, we connect this setting with the study of certain convex polytopes: associahedra and cyclohedra. Specifically, we describe a characterization of these polytopes using planar embeddings of trees and show that the tree complex is the barycentric subdivision of a polyhedral cell complex for which the cells are products of associahedra and cyclohedra.
