Matching arc complexes: Connectedness and hyperbolicity

Addressing a question of Zaremsky, we give conditions on a finite simplicial graph which guarantee that the associated matching arc complex is connected and hyperbolic.

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Bibliographic Details
Published in:Expositiones mathematicae 2022-06, Vol.40 (2), p.254-264
Main Authors: Aramayona, Javier, de Pool, Rodrigo, Fernández, Alejandro
Format: Article
Language:English
Subjects:
Hyperbolicity
Mapping class group
Matching arc complex
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Description
Summary:Addressing a question of Zaremsky, we give conditions on a finite simplicial graph which guarantee that the associated matching arc complex is connected and hyperbolic.
ISSN:0723-0869
1878-0792
DOI:10.1016/j.exmath.2021.10.002