多重曲线图的厚度和相对双曲度

IF 0.8 2区数学 Q2 MATHEMATICS Journal of Topology Pub Date : 2022-10-31 DOI:10.1112/topo.12270

Jacob Russell, Kate M. Vokes

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引用次数: 0

摘要

我们证明了任何满足某些自然性质的多曲线图要么是双曲的，要么是相对双曲的，要么是粗的。此外，这种几何特征是由与图的每个顶点相交的一组子曲面决定的。这将先前建立的裤子图和分离曲线图的结果扩展到与曲面相关的广泛图族。

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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Thickness and relative hyperbolicity for graphs of multicurves

We prove that any graph of multicurves satisfying certain natural properties is either hyperbolic, relatively hyperbolic, or thick. Further, this geometric characterization is determined by the set of subsurfaces that intersect every vertex of the graph. This extends previously established results for the pants graph and the separating curve graph to a broad family of graphs associated to surfaces.

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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.