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Automorphisms of smooth fine curve graphs

2024/10/28 by Katherine Williams Booth, Booth, Katherine Williams
Computer Science · Mathematics · #20F65 #57K20 #57M07 #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2410.21463

openalex publication_date 2024/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider the automorphisms of fine curve graphs restricted to continuously k-differentiable curves. We show that for closed surfaces with genus at least 2, they are induced by homeomorphisms of the surface.

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