4 papers
Determining the finite subgraphs of curve graphs
Tarik Aougab, Ian Biringer, Jonah Gaster
We prove that there is an algorithm to determine if a given finite graph is an induced subgraph of a given curve graph.
Building hyperbolic metrics suited to closed curves and applications to lifting simply
Tarik Aougab, Jonah Gaster, Priyam Patel +1
Let be an essential closed curve with at most self-intersections on a surface with negative Euler characteristic. In this paper, we construct a hyperbolic met…
Curves intersecting exactly once and their dual cube complexes
Tarik Aougab, Jonah Gaster
Let denote the closed orientable surface of genus . We construct exponentially many mapping class group orbits of collections of simple closed curves on which…
A family of non-injective skinning maps with critical points
Jonah Gaster
Certain classes of 3-manifolds, following Thurston, give rise to a 'skinning map', a self-map of the Teichmüller space of the boundary. This paper examines the skinning map of a 3-…