4 citations · 5 across the 4 of their papers we have counts for
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math.GT2020
Flip graphs for infinite type surfaces
Ariadna Fossas, Hugo Parlier
We associate to triangulations of infinite type surface a type of flip graph where simultaneous flips are allowed. Our main focus is on understanding exactly when two triangulation…
math.GT2015
Arc and curve graphs for infinite-type surfaces
Javier Aramayona, Ariadna Fossas, Hugo Parlier
We study arc graphs and curve graphs for surfaces of infinite topological type. First, we define an arc graph relative to a finite number of (isolated) punctures and prove that it…
math.GT2014
Curve graphs on surfaces of infinite type
Ariadna Fossas, Hugo Parlier
We define and study analogs of curve graphs for infinite type surfaces. Our definitions use the geometry of a fixed surface and vertices of our graphs are infinite multicurves whic…