3 papers
math.GR2026
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…
math.GT2025
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…
math.GT2025
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…