Quotients of torus endomorphisms have parabolic orbifolds

2023/05/22 by Sofía Llavayol, Juliana Xavier, Llavayol, Sofía +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2305.13044

openalex publication_date 2023/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we show that every quotient of a torus endomorphism has a parabolic orbifold. This answers a question of Mario Bonk and Daniel Meyer posed in their book "Expanding Thurston maps".

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