Automorphisms of smooth fine curve graphs
Abstract
In this paper, we consider the automorphisms of fine curve graphs where the vertices are restricted to continuously k k -differentiable curves. We show that for closed surfaces with genus at least 2, they are all induced by homeomorphisms of the surface. This result extends analogous work of Farb–Margalit and Long–Margalit–Pham–Verberne–Yao.
Fields of Study & Subjects
Geometric and Algebraic Topology
Geometric Analysis and Curvature Flows
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Transactions of the American Mathematical Society
- Publication date
- 28 January 2026
- Language
- EN