末端周期映射环面的体积
几何拓扑
2025-08-21 v1 动力系统
摘要
在这篇综述性文章中，我们以直观和图示驱动的方式概述了两个近期结果，这些结果将无穷型曲面上某些同胚（称为末端周期同胚）的动力学与其关联的（紧化）映射环面的几何联系起来。这些结果是有限型情形下关于伪阿诺索夫同胚映射环面的 Brock 定理的类似物。
引用
@article{arxiv.2508.14244,
title = {Volumes of end-periodic mapping tori},
author = {Marissa Loving},
journal= {arXiv preprint arXiv:2508.14244},
year = {2025}
}
备注
31 pages, 33 figures; This expository paper builds on lecture notes from a minicourse entitled, "Infinite-type surfaces, end-periodic homeomorphisms, and the geometry of 3-manifolds", which was given by the author as part of the 2023 Riverside Workshop on Geometric Group Theory