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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…
math.GT2024
A local characterization for homeomorphisms that preserve continuously differentiable curves
Katherine Williams Booth
We study the subgroup of the homeomorphism group consisting of homeomorphisms of a manifold that preserve the set of one-dimensional -submanifolds. For many surfaces, the simi…