论文标题

同型亚面和无所不在的弧线

Homeomorphic subsurfaces and the omnipresent arcs

论文作者

Fanoni, Federica, Ghaswala, Tyrone, McLeay, Alan

论文摘要

在本文中,我们关注表面上弧的各个方面。在第一部分中,我们处理弧线的拓扑方面及其补充。在第二部分中,我们使用这种理解来构建映射类组的有趣动作,这些动作在ARC图的子图上。该子图自然来自于同构亚面的无限型表面的新表征。

In this article, we are concerned with various aspects of arcs on surfaces. In the first part, we deal with topological aspects of arcs and their complements. We use this understanding, in the second part, to construct interesting actions of the mapping class group on a subgraph of the arc graph. This subgraph naturally emerges from a new characterisation of infinite-type surfaces in terms of homeomorphic subsurfaces.

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