On countability of Teichm\"uller modular groups for analytically infinite Riemann surfaces defined by generalized Cantor sets
Complex Variables
2024-07-11 v1
Abstract
For any analytically finite Riemann surface, the Teichm\"uller modular group is countable, but it is not easy to find an analytically infinite Riemann surface for which the Teichm\"uller modular group is countable. In this paper, we show that the Teichm\"uller modular group is countable or uncountable for some analytically infinite Riemann surfaces defined by generalized Cantor sets.
Keywords
Cite
@article{arxiv.2407.07533,
title = {On countability of Teichm\"uller modular groups for analytically infinite Riemann surfaces defined by generalized Cantor sets},
author = {Erina Kinjo},
journal= {arXiv preprint arXiv:2407.07533},
year = {2024}
}
Comments
8 pages, 1 figure