从曲线图到精细曲线图再到精细曲线图

arXiv - MATH - Geometric Topology Pub Date : 2024-09-09 DOI:arxiv-2409.05647

Federica Fanoni, Sebastian Hensel

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引用次数: 0

摘要

我们首先证明，并非封闭曲面的细曲线图的所有边界点都可以通过有限逼近看到，我们指的是通过在有限多个点上穿刺的曲面曲线图。然后，我们利用细曲线图工具证明，与无限曲面相关的曲线图存在抛物线等距。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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From curve graphs to fine curve graphs and back

We first show that not all boundary points of the fine curve graph of a closed surface are seen via finite approximations, by which we mean via curve graphs of the surface punctured at finitely many points. We then use fine curve graph tools to prove that there exist parabolic isometries of graphs of curves associated to surfaces of infinite type.

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arXiv - MATH - Geometric Topology

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