From the 1 of 4 linked papers with an AI index.
4 papers
Surfaces proper homotopy equivalent to graphs and their Dehn-Nielsen-Baer maps
Ryan Dickmann, Hannah Hoganson, Sanghoon Kwak
The paper characterizes which second‑countable orientable surfaces (possibly of infinite type with non‑compact boundary) are properly homotopy equivalent to graphs, and studies the…
Large flats in large subgraphs of fine curve graphs
Ryan Dickmann, Roberta Shapiro
The fine curve graph of a surface is a graph whose vertices are essential simple closed curves and whose edges connect disjoint curves. Following a rich history of hyperbolicity of…
Homotopy types of fine curve and fine arc complexes
Ryan Dickmann, Zachary Himes, Alexander Nolte +1
The fine curve complex of a surface is a simplicial complex whose vertices are essential simple closed curves and whose -simplices are collections of disjoint curves. We p…
Geodesic-preserving bijections of the Thurston geometries
Ryan Dickmann, Palani Lideros, Akash Narayanan
We completely classify the bijections of the Thurston geometries that preserve geodesics as sets. For Riemannian manifolds that satisfy a certain technical condition, we prove that…