English

Quotients of torus endomorphisms have parabolic orbifolds

Geometric Topology 2023-05-23 v1 Algebraic Topology Dynamical Systems

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".

Keywords

Cite

@article{arxiv.2305.13044,
  title  = {Quotients of torus endomorphisms have parabolic orbifolds},
  author = {Sofía Llavayol and Juliana Xavier},
  journal= {arXiv preprint arXiv:2305.13044},
  year   = {2023}
}