Matching arc complexes: connectedness and hyperbolicity

Alejandro Fern\'andez; Javier Aramayona; Rodrigo de Pool

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Matching arc complexes: connectedness and hyperbolicity

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arxiv 2108.05811 v1 pith:2LCWLY65 submitted 2021-08-12 math.GT math.COmath.GR

Javier Aramayona , Rodrigo de Pool , Alejandro Fernández This is my paper · ORCID

classification math.GTmath.COmath.GR

keywords matchingaddressingassociatedcomplexcomplexesconditionsconnectedconnectedness

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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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