5 papers
Characterizing property (NL) in {C}oxeter groups
Sahana Balasubramanya, Rachel Niebler, Roberta Shapiro
A group has Property (NL) -- which stands for ``no loxodromics" -- if no element of the group acts loxodromically on any hyperbolic space. In this brief note, we provide a complete…
Automorphisms of fine curve graphs of planar surfaces
Roberta Shapiro, Rohan Wadhwa, Arthur Wang +1
The fine curve graph of a surface is the graph whose vertices are simple closed essential curves in the surface and whose edges connect disjoint curves. In this paper, we prove tha…
Hyperbolicity, topology, and combinatorics of fine curve graphs and variants
Roberta Shapiro
Given a surface, the fine -curve graph of the surface is a graph whose vertices are simple closed essential curves and whose edges connect curves that intersect in at most p…
Property in Coexeter groups
Sahana Balasubramanya, Georgia Burkhalter, Rachel Niebler +1
A group has Property if it does not admit a loxodromic element in any hyperbolic action. In other words, a group with this property is inaccessible for study from t…
Automorphisms of the fine 1-curve graph
Katherine Williams Booth, Daniel Minahan, Roberta Shapiro
The fine 1-curve graph of a surface is a graph whose vertices are simple closed curves on the surface and whose edges connect vertices that intersect in at most one point. We show…