4 citations · 5 across the 4 of their papers we have counts for
6 papers
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…
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…
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…
The infinite associahedron and R.J. Thompson's group T
Ariadna Fossas
In this paper we construct a cellular complex which is an infinite analogue to Stasheff's associahedra. We prove that it is contractible and state that its (combinatorial) automorp…
On the automorphism group of the asymptotic pants complex of a planar surface of infinite type
Ariadna Fossas, Maxime Nguyen
We consider a planar surface Σof infinite type which has the Thompson group T as asymptotic mapping class group. We construct the asymptotic pants complex C of Σand prove that the…
PSL(2,Z) as a non distorted subgroup of Thompson's group T
Ariadna Fossas
In this paper we characterize the elements of PSL(2,Z), as a subgroup of Thompson group T, in the language of reduced tree pair diagrams and in terms of piecewise linear maps as we…