3 papers
math.GT2026
Graphs of Quasicircles and Quasiconformal Homeomorphisms
Katherine Williams Booth, Alexander Nolte, Yvon Verberne
We give a combinatorial characterization of the group of quasiconformal homeomorphisms of a closed, oriented surface of genus at least . In particular, we prove they are exa…
math.GT2025
Homeomorphisms of surfaces that preserve continuously differentiable curves
Katherine Williams Booth
In this paper, we study Homeo, the group of homeomorphisms of a surface that preserve the set of one-dimensional submanifolds of that surface. The group Homeo b…
math.GT2024
Automorphisms of smooth fine curve graphs
Katherine Williams Booth
In this paper, we consider the automorphisms of fine curve graphs restricted to continuously -differentiable curves. We show that for closed surfaces with genus at least 2, they…