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Article Dans Une Revue Annales Henri Lebesgue Année : 2021

Homeomorphic subsurfaces and the omnipresent arcs

Résumé

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.

Dates et versions

hal-02981757 , version 1 (28-10-2020)

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Federica Fanoni, Tyrone Ghaswala, Alan Mcleay. Homeomorphic subsurfaces and the omnipresent arcs. Annales Henri Lebesgue, inPress. ⟨hal-02981757⟩
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