6 citations · 17 across the 11 of their papers we have counts for
12 papers
Large-scale geometry of the saddle connection graph
Valentina Disarlo, Huiping Pan, Anja Randecker +1
We prove that the saddle connection graph associated to any half-translation surface is 4-hyperbolic and uniformly quasi-isometric to the regular countably infinite-valent tree. Co…
Affine diffeomorphism groups are undistorted
Robert Tang
The affine diffeomorphism group of a half-translation surface comprise the self-diffeomorphisms with constant differential away from the singularities.…
Rigidity of the saddle connection complex
Valentina Disarlo, Anja Randecker, Robert Tang
For a half-translation surface (S,q), the associated saddle connection complex A(S,q) is the simplicial complex where vertices are the saddle connections on (S,q), with simplices s…
Cubical Geometry in the Polygonalisation Complex
Mark C. Bell, Valentina Disarlo, Robert Tang
We introduce the polygonalisation complex of a surface, a cube complex whose vertices correspond to polygonalisations. This is a geometric model for the mapping class group and it…
Veech surfaces and simple closed curves
Max Forester, Robert Tang, Jing Tao
We study the SL(2,R)-infimal lengths of simple closed curves on half-translation surfaces. Our main result is a characterization of Veech surfaces in terms of these lengths. We als…
Shadows of Teichmüller discs in the curve graph
Robert Tang, Richard C. H. Webb
We consider several natural sets of curves associated to a given Teichmüller disc, such as the systole set or cylinder set, and study their coarse geometry inside the curve graph.…