Thurston's compactification via geodesic currents: The case of non-compact finite area surfaces

2022/08/23 by Marie Trin, Trin, Marie
Computer Science · Mathematics · #Computability, Logic, AI Algorithms #FOS: Mathematics #General Topology (math.GN) #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2208.10763

openalex publication_date 2022/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In [Bon88], Bonahon gave a construction of Thurston's compactification of Teichmüller space using geodesic currents. His argument only applies in the case of closed surfaces, and there are good reasons for that. We present a variant which applies to surfaces of finite area.

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