English

A horofunction counterpart to Teichm\"uller distance

Geometric Topology 2025-12-30 v1

Abstract

We generalize the horofunction compactification to maps that are not distance functions. As an application we define a horofunction counterpart to the Teichm\"uller distance, and discuss its properties.

Keywords

Cite

@article{arxiv.2512.23249,
  title  = {A horofunction counterpart to Teichm\"uller distance},
  author = {Hidetoshi Masai},
  journal= {arXiv preprint arXiv:2512.23249},
  year   = {2025}
}

Comments

24 pages